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What is the Least Common Multiple of 64643 and 64655?

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 64655 is 4179493165.

LCM(64643,64655) = 4179493165

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Least Common Multiple of 64643 and 64655 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 64655, than apply into the LCM equation.

GCF(64643,64655) = 1
LCM(64643,64655) = ( 64643 × 64655) / 1
LCM(64643,64655) = 4179493165 / 1
LCM(64643,64655) = 4179493165

Least Common Multiple (LCM) of 64643 and 64655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64643 and 64655. First we will calculate the prime factors of 64643 and 64655.

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 64655

Prime factors of 64655 are 5, 67, 193. Prime factorization of 64655 in exponential form is:

64655 = 51 × 671 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 64643 and 64655.

LCM(64643,64655) = 1271 × 5091 × 51 × 671 × 1931
LCM(64643,64655) = 4179493165