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What is the Least Common Multiple of 64788 and 64799?

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 64788 and 64799 is 4198197612.

LCM(64788,64799) = 4198197612

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Least Common Multiple of 64788 and 64799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64788 and 64799, than apply into the LCM equation.

GCF(64788,64799) = 1
LCM(64788,64799) = ( 64788 × 64799) / 1
LCM(64788,64799) = 4198197612 / 1
LCM(64788,64799) = 4198197612

Least Common Multiple (LCM) of 64788 and 64799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64788 and 64799. First we will calculate the prime factors of 64788 and 64799.

Prime Factorization of 64788

Prime factors of 64788 are 2, 3, 5399. Prime factorization of 64788 in exponential form is:

64788 = 22 × 31 × 53991

Prime Factorization of 64799

Prime factors of 64799 are 7, 9257. Prime factorization of 64799 in exponential form is:

64799 = 71 × 92571

Now multiplying the highest exponent prime factors to calculate the LCM of 64788 and 64799.

LCM(64788,64799) = 22 × 31 × 53991 × 71 × 92571
LCM(64788,64799) = 4198197612