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What is the Least Common Multiple of 64504 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 64504 and 64520 is 520224760.

LCM(64504,64520) = 520224760

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Least Common Multiple of 64504 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 64504 and 64520, than apply into the LCM equation.

GCF(64504,64520) = 8
LCM(64504,64520) = ( 64504 × 64520) / 8
LCM(64504,64520) = 4161798080 / 8
LCM(64504,64520) = 520224760

Least Common Multiple (LCM) of 64504 and 64520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64504 and 64520. First we will calculate the prime factors of 64504 and 64520.

Prime Factorization of 64504

Prime factors of 64504 are 2, 11, 733. Prime factorization of 64504 in exponential form is:

64504 = 23 × 111 × 7331

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 64504 and 64520.

LCM(64504,64520) = 23 × 111 × 7331 × 51 × 16131
LCM(64504,64520) = 520224760