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What is the Least Common Multiple of 64503 and 64512?

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 64503 and 64512 is 462357504.

LCM(64503,64512) = 462357504

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Least Common Multiple of 64503 and 64512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64503 and 64512, than apply into the LCM equation.

GCF(64503,64512) = 9
LCM(64503,64512) = ( 64503 × 64512) / 9
LCM(64503,64512) = 4161217536 / 9
LCM(64503,64512) = 462357504

Least Common Multiple (LCM) of 64503 and 64512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64503 and 64512. First we will calculate the prime factors of 64503 and 64512.

Prime Factorization of 64503

Prime factors of 64503 are 3, 2389. Prime factorization of 64503 in exponential form is:

64503 = 33 × 23891

Prime Factorization of 64512

Prime factors of 64512 are 2, 3, 7. Prime factorization of 64512 in exponential form is:

64512 = 210 × 32 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 64503 and 64512.

LCM(64503,64512) = 33 × 23891 × 210 × 71
LCM(64503,64512) = 462357504