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What is the Least Common Multiple of 64784 and 64796?

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 64796 is 1049436016.

LCM(64784,64796) = 1049436016

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Least Common Multiple of 64784 and 64796 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 64796, than apply into the LCM equation.

GCF(64784,64796) = 4
LCM(64784,64796) = ( 64784 × 64796) / 4
LCM(64784,64796) = 4197744064 / 4
LCM(64784,64796) = 1049436016

Least Common Multiple (LCM) of 64784 and 64796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64784 and 64796. First we will calculate the prime factors of 64784 and 64796.

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 64796

Prime factors of 64796 are 2, 97, 167. Prime factorization of 64796 in exponential form is:

64796 = 22 × 971 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 64784 and 64796.

LCM(64784,64796) = 24 × 40491 × 971 × 1671
LCM(64784,64796) = 1049436016