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What is the Least Common Multiple of 64313 and 64317?

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 64313 and 64317 is 4136419221.

LCM(64313,64317) = 4136419221

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Least Common Multiple of 64313 and 64317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64313 and 64317, than apply into the LCM equation.

GCF(64313,64317) = 1
LCM(64313,64317) = ( 64313 × 64317) / 1
LCM(64313,64317) = 4136419221 / 1
LCM(64313,64317) = 4136419221

Least Common Multiple (LCM) of 64313 and 64317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64313 and 64317. First we will calculate the prime factors of 64313 and 64317.

Prime Factorization of 64313

Prime factors of 64313 are 73, 881. Prime factorization of 64313 in exponential form is:

64313 = 731 × 8811

Prime Factorization of 64317

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

64317 = 31 × 111 × 19491

Now multiplying the highest exponent prime factors to calculate the LCM of 64313 and 64317.

LCM(64313,64317) = 731 × 8811 × 31 × 111 × 19491
LCM(64313,64317) = 4136419221