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What is the Least Common Multiple of 64724 and 64736?

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 64724 and 64736 is 1047493216.

LCM(64724,64736) = 1047493216

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Least Common Multiple of 64724 and 64736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64724 and 64736, than apply into the LCM equation.

GCF(64724,64736) = 4
LCM(64724,64736) = ( 64724 × 64736) / 4
LCM(64724,64736) = 4189972864 / 4
LCM(64724,64736) = 1047493216

Least Common Multiple (LCM) of 64724 and 64736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64724 and 64736. First we will calculate the prime factors of 64724 and 64736.

Prime Factorization of 64724

Prime factors of 64724 are 2, 11, 1471. Prime factorization of 64724 in exponential form is:

64724 = 22 × 111 × 14711

Prime Factorization of 64736

Prime factors of 64736 are 2, 7, 17. Prime factorization of 64736 in exponential form is:

64736 = 25 × 71 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 64724 and 64736.

LCM(64724,64736) = 25 × 111 × 14711 × 71 × 172
LCM(64724,64736) = 1047493216