在Android Kotlin中，LocationCallback的泄漏问题通常是因为没有正确地取消注册LocationCallback导致的。下面是解决这个问题的示例代码：

import android.Manifest
import android.content.pm.PackageManager
import android.location.Location
import android.os.Bundle
import androidx.appcompat.app.AppCompatActivity
import androidx.core.app.ActivityCompat
import androidx.core.content.ContextCompat
import com.google.android.gms.location.*

class MainActivity : AppCompatActivity() {

    private lateinit var fusedLocationClient: FusedLocationProviderClient
    private lateinit var locationCallback: LocationCallback

    override fun onCreate(savedInstanceState: Bundle?) {
        super.onCreate(savedInstanceState)
        setContentView(R.layout.activity_main)

        fusedLocationClient = LocationServices.getFusedLocationProviderClient(this)

        locationCallback = object : LocationCallback() {
            override fun onLocationResult(locationResult: LocationResult?) {
                locationResult?.lastLocation?.let { location ->
                    // 处理获取到的位置信息
                }
            }
        }

        startLocationUpdates()
    }

    private fun startLocationUpdates() {
        if (ContextCompat.checkSelfPermission(this,
                Manifest.permission.ACCESS_FINE_LOCATION) == PackageManager.PERMISSION_GRANTED) {
            fusedLocationClient.requestLocationUpdates(createLocationRequest(), locationCallback, null)
        } else {
            ActivityCompat.requestPermissions(this,
                arrayOf(Manifest.permission.ACCESS_FINE_LOCATION), REQUEST_LOCATION_PERMISSION)
        }
    }

    private fun createLocationRequest(): LocationRequest {
        return LocationRequest.create().apply {
            interval = 10000
            fastestInterval = 5000
            priority = LocationRequest.PRIORITY_HIGH_ACCURACY
        }
    }

    override fun onRequestPermissionsResult(requestCode: Int, permissions: Array, grantResults: IntArray) {
        when (requestCode) {
            REQUEST_LOCATION_PERMISSION -> {
                if (grantResults.isNotEmpty() && grantResults[0] == PackageManager.PERMISSION_GRANTED) {
                    startLocationUpdates()
                } else {
                    // 处理权限被拒绝的情况
                }
                return
            }
        }
    }

    override fun onDestroy() {
        super.onDestroy()
        stopLocationUpdates()
    }

    private fun stopLocationUpdates() {
        fusedLocationClient.removeLocationUpdates(locationCallback)
    }

    companion object {
        private const val REQUEST_LOCATION_PERMISSION = 1
    }
}

在上面的代码中，我们首先在onCreate方法中初始化fusedLocationClient和locationCallback对象。然后在startLocationUpdates方法中请求位置权限，并使用fusedLocationClient注册locationCallback以接收位置更新。在onRequestPermissionsResult方法中处理位置权限的授权结果，并在授权成功后调用startLocationUpdates方法。

在onDestroy方法中调用stopLocationUpdates方法来取消注册locationCallback，以确保在Activity销毁时不再接收位置更新。

这样，我们就可以避免LocationCallback的泄漏问题。