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What is the Least Common Multiple of 64497 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 64497 and 64512 is 1386943488.

LCM(64497,64512) = 1386943488

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Least Common Multiple of 64497 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 64497 and 64512, than apply into the LCM equation.

GCF(64497,64512) = 3
LCM(64497,64512) = ( 64497 × 64512) / 3
LCM(64497,64512) = 4160830464 / 3
LCM(64497,64512) = 1386943488

Least Common Multiple (LCM) of 64497 and 64512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64497 and 64512. First we will calculate the prime factors of 64497 and 64512.

Prime Factorization of 64497

Prime factors of 64497 are 3, 21499. Prime factorization of 64497 in exponential form is:

64497 = 31 × 214991

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 64497 and 64512.

LCM(64497,64512) = 32 × 214991 × 210 × 71
LCM(64497,64512) = 1386943488