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What is the Least Common Multiple of 64521 and 64536?

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 64521 and 64536 is 1387975752.

LCM(64521,64536) = 1387975752

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Least Common Multiple of 64521 and 64536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64521 and 64536, than apply into the LCM equation.

GCF(64521,64536) = 3
LCM(64521,64536) = ( 64521 × 64536) / 3
LCM(64521,64536) = 4163927256 / 3
LCM(64521,64536) = 1387975752

Least Common Multiple (LCM) of 64521 and 64536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64521 and 64536. First we will calculate the prime factors of 64521 and 64536.

Prime Factorization of 64521

Prime factors of 64521 are 3, 67, 107. Prime factorization of 64521 in exponential form is:

64521 = 32 × 671 × 1071

Prime Factorization of 64536

Prime factors of 64536 are 2, 3, 2689. Prime factorization of 64536 in exponential form is:

64536 = 23 × 31 × 26891

Now multiplying the highest exponent prime factors to calculate the LCM of 64521 and 64536.

LCM(64521,64536) = 32 × 671 × 1071 × 23 × 26891
LCM(64521,64536) = 1387975752