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What is the Least Common Multiple of 64356 and 64376?

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 64356 and 64376 is 1035745464.

LCM(64356,64376) = 1035745464

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Least Common Multiple of 64356 and 64376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64356 and 64376, than apply into the LCM equation.

GCF(64356,64376) = 4
LCM(64356,64376) = ( 64356 × 64376) / 4
LCM(64356,64376) = 4142981856 / 4
LCM(64356,64376) = 1035745464

Least Common Multiple (LCM) of 64356 and 64376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64356 and 64376. First we will calculate the prime factors of 64356 and 64376.

Prime Factorization of 64356

Prime factors of 64356 are 2, 3, 31, 173. Prime factorization of 64356 in exponential form is:

64356 = 22 × 31 × 311 × 1731

Prime Factorization of 64376

Prime factors of 64376 are 2, 13, 619. Prime factorization of 64376 in exponential form is:

64376 = 23 × 131 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 64356 and 64376.

LCM(64356,64376) = 23 × 31 × 311 × 1731 × 131 × 6191
LCM(64356,64376) = 1035745464