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What is the Least Common Multiple of 64812 and 64817?

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 64812 and 64817 is 4200919404.

LCM(64812,64817) = 4200919404

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Least Common Multiple of 64812 and 64817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64812 and 64817, than apply into the LCM equation.

GCF(64812,64817) = 1
LCM(64812,64817) = ( 64812 × 64817) / 1
LCM(64812,64817) = 4200919404 / 1
LCM(64812,64817) = 4200919404

Least Common Multiple (LCM) of 64812 and 64817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64812 and 64817. First we will calculate the prime factors of 64812 and 64817.

Prime Factorization of 64812

Prime factors of 64812 are 2, 3, 11, 491. Prime factorization of 64812 in exponential form is:

64812 = 22 × 31 × 111 × 4911

Prime Factorization of 64817

Prime factors of 64817 are 64817. Prime factorization of 64817 in exponential form is:

64817 = 648171

Now multiplying the highest exponent prime factors to calculate the LCM of 64812 and 64817.

LCM(64812,64817) = 22 × 31 × 111 × 4911 × 648171
LCM(64812,64817) = 4200919404