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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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What is the greatest common multiple of 15 and 45 and the least common multiple of 15 and 45?
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What is the least common multiple of 45 and 50?
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What is the least common multiple of 30 35 and 45?
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What is the least common multiple pf 45 175 and 35?
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