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What is the Least Common Multiple of 64528 and 64541?

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 64528 and 64541 is 4164701648.

LCM(64528,64541) = 4164701648

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Least Common Multiple of 64528 and 64541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64528 and 64541, than apply into the LCM equation.

GCF(64528,64541) = 1
LCM(64528,64541) = ( 64528 × 64541) / 1
LCM(64528,64541) = 4164701648 / 1
LCM(64528,64541) = 4164701648

Least Common Multiple (LCM) of 64528 and 64541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64528 and 64541. First we will calculate the prime factors of 64528 and 64541.

Prime Factorization of 64528

Prime factors of 64528 are 2, 37, 109. Prime factorization of 64528 in exponential form is:

64528 = 24 × 371 × 1091

Prime Factorization of 64541

Prime factors of 64541 are 233, 277. Prime factorization of 64541 in exponential form is:

64541 = 2331 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 64528 and 64541.

LCM(64528,64541) = 24 × 371 × 1091 × 2331 × 2771
LCM(64528,64541) = 4164701648