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To find the least common multiple (LCM) of 45, 75, and 105, we first need to prime factorize each number: 45 = 3 x 3 x 5, 75 = 3 x 5 x 5, and 105 = 3 x 5 x 7. Then, we identify the highest power of each prime factor that appears in any of the factorizations: 3^1, 5^2, and 7^1. Finally, we multiply these highest powers together to find the LCM, which is 3 x 5^2 x 7 = 525. Therefore, the least common multiple of 45, 75, and 105 is 525.

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βˆ™ 2w ago
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βˆ™ 9y ago

The least common multiple of 45 75 and 105 is 1575

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Q: What is the least common multiple of 45 75 and 105?
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What is the LCM of 45 and 105?

The Least Common Multiple (LCM) of 45 and 105 is 315.


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What is the least common multiple of 45 and 105?

The least common multiple (LCM) is often also called the lowest common multiple or smallest common multiple. Keep in mind that these different terms all refer to the same thing: the smallest positive integer which is a multiple of two or more numbers.The least common multiple of 45 and 105 is 315.


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LCM(45, 105, 75) = 1575.


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