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What is the Least Common Multiple of 64643 and 64657?

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 64643 and 64657 is 4179622451.

LCM(64643,64657) = 4179622451

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Least Common Multiple of 64643 and 64657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64643 and 64657, than apply into the LCM equation.

GCF(64643,64657) = 1
LCM(64643,64657) = ( 64643 × 64657) / 1
LCM(64643,64657) = 4179622451 / 1
LCM(64643,64657) = 4179622451

Least Common Multiple (LCM) of 64643 and 64657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64643 and 64657. First we will calculate the prime factors of 64643 and 64657.

Prime Factorization of 64643

Prime factors of 64643 are 127, 509. Prime factorization of 64643 in exponential form is:

64643 = 1271 × 5091

Prime Factorization of 64657

Prime factors of 64657 are 19, 41, 83. Prime factorization of 64657 in exponential form is:

64657 = 191 × 411 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 64643 and 64657.

LCM(64643,64657) = 1271 × 5091 × 191 × 411 × 831
LCM(64643,64657) = 4179622451