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What is the Least Common Multiple of 64489 and 64507?

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 64489 and 64507 is 4159991923.

LCM(64489,64507) = 4159991923

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Least Common Multiple of 64489 and 64507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64489 and 64507, than apply into the LCM equation.

GCF(64489,64507) = 1
LCM(64489,64507) = ( 64489 × 64507) / 1
LCM(64489,64507) = 4159991923 / 1
LCM(64489,64507) = 4159991923

Least Common Multiple (LCM) of 64489 and 64507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64489 and 64507. First we will calculate the prime factors of 64489 and 64507.

Prime Factorization of 64489

Prime factors of 64489 are 64489. Prime factorization of 64489 in exponential form is:

64489 = 644891

Prime Factorization of 64507

Prime factors of 64507 are 251, 257. Prime factorization of 64507 in exponential form is:

64507 = 2511 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 64489 and 64507.

LCM(64489,64507) = 644891 × 2511 × 2571
LCM(64489,64507) = 4159991923