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What is the Least Common Multiple of 64512 and 64518?

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 64512 and 64518 is 693697536.

LCM(64512,64518) = 693697536

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Least Common Multiple of 64512 and 64518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64512 and 64518, than apply into the LCM equation.

GCF(64512,64518) = 6
LCM(64512,64518) = ( 64512 × 64518) / 6
LCM(64512,64518) = 4162185216 / 6
LCM(64512,64518) = 693697536

Least Common Multiple (LCM) of 64512 and 64518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64512 and 64518. First we will calculate the prime factors of 64512 and 64518.

Prime Factorization of 64512

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

64512 = 210 × 32 × 71

Prime Factorization of 64518

Prime factors of 64518 are 2, 3, 10753. Prime factorization of 64518 in exponential form is:

64518 = 21 × 31 × 107531

Now multiplying the highest exponent prime factors to calculate the LCM of 64512 and 64518.

LCM(64512,64518) = 210 × 32 × 71 × 107531
LCM(64512,64518) = 693697536