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What is the Least Common Multiple of 64267 and 64279?

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 64267 and 64279 is 4131018493.

LCM(64267,64279) = 4131018493

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Least Common Multiple of 64267 and 64279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64267 and 64279, than apply into the LCM equation.

GCF(64267,64279) = 1
LCM(64267,64279) = ( 64267 × 64279) / 1
LCM(64267,64279) = 4131018493 / 1
LCM(64267,64279) = 4131018493

Least Common Multiple (LCM) of 64267 and 64279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64267 and 64279. First we will calculate the prime factors of 64267 and 64279.

Prime Factorization of 64267

Prime factors of 64267 are 7, 9181. Prime factorization of 64267 in exponential form is:

64267 = 71 × 91811

Prime Factorization of 64279

Prime factors of 64279 are 64279. Prime factorization of 64279 in exponential form is:

64279 = 642791

Now multiplying the highest exponent prime factors to calculate the LCM of 64267 and 64279.

LCM(64267,64279) = 71 × 91811 × 642791
LCM(64267,64279) = 4131018493