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start with 30:

(30) = 2 * (15)

(15) = 3 * 5

so, 2 * 3 * 5 = 2^1, 3^1, 5^1

now 21:

(21) = 3 * 7

so, 3 * 7 = 3^1, 7^1

take highest of each factor out of both rows = 2^1, 3^1, 5^1, 7^1

then multiply: 2 * 3 * 5 * 7 = 210

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Q: What is the LCM of 30 and 21 by writing the prime factorization?
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