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What is the Least Common Multiple of 64790 and 64808?

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 64790 and 64808 is 2099455160.

LCM(64790,64808) = 2099455160

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Least Common Multiple of 64790 and 64808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64790 and 64808, than apply into the LCM equation.

GCF(64790,64808) = 2
LCM(64790,64808) = ( 64790 × 64808) / 2
LCM(64790,64808) = 4198910320 / 2
LCM(64790,64808) = 2099455160

Least Common Multiple (LCM) of 64790 and 64808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64790 and 64808. First we will calculate the prime factors of 64790 and 64808.

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

Prime Factorization of 64808

Prime factors of 64808 are 2, 8101. Prime factorization of 64808 in exponential form is:

64808 = 23 × 81011

Now multiplying the highest exponent prime factors to calculate the LCM of 64790 and 64808.

LCM(64790,64808) = 23 × 51 × 111 × 191 × 311 × 81011
LCM(64790,64808) = 2099455160