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What is the Least Common Multiple of 64199 and 64212?

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 64199 and 64212 is 4122346188.

LCM(64199,64212) = 4122346188

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Least Common Multiple of 64199 and 64212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64199 and 64212, than apply into the LCM equation.

GCF(64199,64212) = 1
LCM(64199,64212) = ( 64199 × 64212) / 1
LCM(64199,64212) = 4122346188 / 1
LCM(64199,64212) = 4122346188

Least Common Multiple (LCM) of 64199 and 64212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64199 and 64212. First we will calculate the prime factors of 64199 and 64212.

Prime Factorization of 64199

Prime factors of 64199 are 43, 1493. Prime factorization of 64199 in exponential form is:

64199 = 431 × 14931

Prime Factorization of 64212

Prime factors of 64212 are 2, 3, 5351. Prime factorization of 64212 in exponential form is:

64212 = 22 × 31 × 53511

Now multiplying the highest exponent prime factors to calculate the LCM of 64199 and 64212.

LCM(64199,64212) = 431 × 14931 × 22 × 31 × 53511
LCM(64199,64212) = 4122346188