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What is the Least Common Multiple of 64312 and 64332?

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 64312 and 64332 is 1034329896.

LCM(64312,64332) = 1034329896

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Least Common Multiple of 64312 and 64332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64312 and 64332, than apply into the LCM equation.

GCF(64312,64332) = 4
LCM(64312,64332) = ( 64312 × 64332) / 4
LCM(64312,64332) = 4137319584 / 4
LCM(64312,64332) = 1034329896

Least Common Multiple (LCM) of 64312 and 64332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64312 and 64332. First we will calculate the prime factors of 64312 and 64332.

Prime Factorization of 64312

Prime factors of 64312 are 2, 8039. Prime factorization of 64312 in exponential form is:

64312 = 23 × 80391

Prime Factorization of 64332

Prime factors of 64332 are 2, 3, 1787. Prime factorization of 64332 in exponential form is:

64332 = 22 × 32 × 17871

Now multiplying the highest exponent prime factors to calculate the LCM of 64312 and 64332.

LCM(64312,64332) = 23 × 80391 × 32 × 17871
LCM(64312,64332) = 1034329896