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What is the Least Common Multiple of 64115 and 64121?

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 64115 and 64121 is 4111117915.

LCM(64115,64121) = 4111117915

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Least Common Multiple of 64115 and 64121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64115 and 64121, than apply into the LCM equation.

GCF(64115,64121) = 1
LCM(64115,64121) = ( 64115 × 64121) / 1
LCM(64115,64121) = 4111117915 / 1
LCM(64115,64121) = 4111117915

Least Common Multiple (LCM) of 64115 and 64121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64115 and 64121. First we will calculate the prime factors of 64115 and 64121.

Prime Factorization of 64115

Prime factors of 64115 are 5, 12823. Prime factorization of 64115 in exponential form is:

64115 = 51 × 128231

Prime Factorization of 64121

Prime factors of 64121 are 37, 1733. Prime factorization of 64121 in exponential form is:

64121 = 371 × 17331

Now multiplying the highest exponent prime factors to calculate the LCM of 64115 and 64121.

LCM(64115,64121) = 51 × 128231 × 371 × 17331
LCM(64115,64121) = 4111117915