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Find the LCM by finding prime factorization of both numbers:

100 = 2 * 2 * 5 * 5

130 = 2 * 5 * 13

Then, count each pair of prime numbers. The two factorizations have two pairs of prime numbers: one pair of 2's and one pair of 5's (pairs are bolded, above):

Paired primes: 2, 5

Next, count the remaining primes and multiply them with the paired primes.

Paired primes: 2, 5

Unpaired primes: 2, 5, 13

The LCM of 100 and 130 is

2 * 2 * 5 * 5 * 13 = 1300

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13y ago

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