We list the first several multiples of 10 and of 19.
• Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, ,190,, 200, 210, ...
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• Multiples of 19: 19, 38, 57, 76, 95, 114, 133, 152, 171, ,190,, 209, 228, 247, ...
The smallest number to appear on both lists is 190.
Therefore, the lowest common multiple of 10 and 19 is 190.