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What is the Least Common Multiple of 64381 and 64391?

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 64381 and 64391 is 4145556971.

LCM(64381,64391) = 4145556971

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Least Common Multiple of 64381 and 64391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64381 and 64391, than apply into the LCM equation.

GCF(64381,64391) = 1
LCM(64381,64391) = ( 64381 × 64391) / 1
LCM(64381,64391) = 4145556971 / 1
LCM(64381,64391) = 4145556971

Least Common Multiple (LCM) of 64381 and 64391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64381 and 64391. First we will calculate the prime factors of 64381 and 64391.

Prime Factorization of 64381

Prime factors of 64381 are 64381. Prime factorization of 64381 in exponential form is:

64381 = 643811

Prime Factorization of 64391

Prime factors of 64391 are 19, 3389. Prime factorization of 64391 in exponential form is:

64391 = 191 × 33891

Now multiplying the highest exponent prime factors to calculate the LCM of 64381 and 64391.

LCM(64381,64391) = 643811 × 191 × 33891
LCM(64381,64391) = 4145556971