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The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor. The greatest common factor of 38 and 95 is 19. (See related question "What is the greatest common factor of 38 and 95?" for this calculation.) So, the least common multiple is 38 x 95 ÷ 19 = 190.
Alternately, to determine the least common multiple, determine their prime factors.
The prime factors of 38 are 2 and 19.
The prime factors of 95 are 5 and 19.
Then, determine the common prime factors and the ones that are not shared.
The common prime factors are a single 19.
The remaining factor of 38 is 2.
The remaining factor of 95 is 5.
Multiply these together to obtain the least common multiple.
19 x 2 x 5 = 190
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