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Question

What is the lcm of 60 and 75?


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Solution

Determine the lcm60,75.

LCM or the Least Common Multiple is the smallest number which can be divided by the given numbers.

The prime factorization of 60 is 2×2×3×5.

The prime factorization of 75 is 3×5×5.

Now, calculate the LCM of 60 and 75:

LCM60,75=2×2×3×5×5LCM60,75=300

Hence, the required lcm of 60 and 75 is 300.


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