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The LCM of 42 and 28 is 84, which is the multiple of the highest power of prime factors from both numbers (22 x 3 x 7 = 2 x 2 x 3 x 7 = 84).
28 can be factored into 2, 2, and 7.
42 can be factored into 2, 3, and 7.
The most number of times two occurs in a single prime factorization is twice; three occurs once, and seven occurs once, so we do:
2 × 2 × 3 × 7 = 84.
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