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What is the Least Common Multiple of 64784 and 64790?

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 64784 and 64790 is 2098677680.

LCM(64784,64790) = 2098677680

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Least Common Multiple of 64784 and 64790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64784 and 64790, than apply into the LCM equation.

GCF(64784,64790) = 2
LCM(64784,64790) = ( 64784 × 64790) / 2
LCM(64784,64790) = 4197355360 / 2
LCM(64784,64790) = 2098677680

Least Common Multiple (LCM) of 64784 and 64790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64784 and 64790. First we will calculate the prime factors of 64784 and 64790.

Prime Factorization of 64784

Prime factors of 64784 are 2, 4049. Prime factorization of 64784 in exponential form is:

64784 = 24 × 40491

Prime Factorization of 64790

Prime factors of 64790 are 2, 5, 11, 19, 31. Prime factorization of 64790 in exponential form is:

64790 = 21 × 51 × 111 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 64784 and 64790.

LCM(64784,64790) = 24 × 40491 × 51 × 111 × 191 × 311
LCM(64784,64790) = 2098677680