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What is the Least Common Multiple of 64317 and 64336?

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 64317 and 64336 is 4137898512.

LCM(64317,64336) = 4137898512

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Least Common Multiple of 64317 and 64336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64317 and 64336, than apply into the LCM equation.

GCF(64317,64336) = 1
LCM(64317,64336) = ( 64317 × 64336) / 1
LCM(64317,64336) = 4137898512 / 1
LCM(64317,64336) = 4137898512

Least Common Multiple (LCM) of 64317 and 64336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64317 and 64336. First we will calculate the prime factors of 64317 and 64336.

Prime Factorization of 64317

Prime factors of 64317 are 3, 11, 1949. Prime factorization of 64317 in exponential form is:

64317 = 31 × 111 × 19491

Prime Factorization of 64336

Prime factors of 64336 are 2, 4021. Prime factorization of 64336 in exponential form is:

64336 = 24 × 40211

Now multiplying the highest exponent prime factors to calculate the LCM of 64317 and 64336.

LCM(64317,64336) = 31 × 111 × 19491 × 24 × 40211
LCM(64317,64336) = 4137898512