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What is the Least Common Multiple of 64192 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 64192 and 64212 is 1030474176.

LCM(64192,64212) = 1030474176

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Least Common Multiple of 64192 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 64192 and 64212, than apply into the LCM equation.

GCF(64192,64212) = 4
LCM(64192,64212) = ( 64192 × 64212) / 4
LCM(64192,64212) = 4121896704 / 4
LCM(64192,64212) = 1030474176

Least Common Multiple (LCM) of 64192 and 64212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64192 and 64212. First we will calculate the prime factors of 64192 and 64212.

Prime Factorization of 64192

Prime factors of 64192 are 2, 17, 59. Prime factorization of 64192 in exponential form is:

64192 = 26 × 171 × 591

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 64192 and 64212.

LCM(64192,64212) = 26 × 171 × 591 × 31 × 53511
LCM(64192,64212) = 1030474176