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What is the Least Common Multiple of 64515 and 64520?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 64515 and 64520 is 832501560.

LCM(64515,64520) = 832501560

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Least Common Multiple of 64515 and 64520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64515 and 64520, than apply into the LCM equation.

GCF(64515,64520) = 5
LCM(64515,64520) = ( 64515 × 64520) / 5
LCM(64515,64520) = 4162507800 / 5
LCM(64515,64520) = 832501560

Least Common Multiple (LCM) of 64515 and 64520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64515 and 64520. First we will calculate the prime factors of 64515 and 64520.

Prime Factorization of 64515

Prime factors of 64515 are 3, 5, 11, 17, 23. Prime factorization of 64515 in exponential form is:

64515 = 31 × 51 × 111 × 171 × 231

Prime Factorization of 64520

Prime factors of 64520 are 2, 5, 1613. Prime factorization of 64520 in exponential form is:

64520 = 23 × 51 × 16131

Now multiplying the highest exponent prime factors to calculate the LCM of 64515 and 64520.

LCM(64515,64520) = 31 × 51 × 111 × 171 × 231 × 23 × 16131
LCM(64515,64520) = 832501560