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What is the Least Common Multiple of 4489 and 4508?

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 4489 and 4508 is 20236412.

LCM(4489,4508) = 20236412

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Least Common Multiple of 4489 and 4508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4489 and 4508, than apply into the LCM equation.

GCF(4489,4508) = 1
LCM(4489,4508) = ( 4489 × 4508) / 1
LCM(4489,4508) = 20236412 / 1
LCM(4489,4508) = 20236412

Least Common Multiple (LCM) of 4489 and 4508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4489 and 4508. First we will calculate the prime factors of 4489 and 4508.

Prime Factorization of 4489

Prime factors of 4489 are 67. Prime factorization of 4489 in exponential form is:

4489 = 672

Prime Factorization of 4508

Prime factors of 4508 are 2, 7, 23. Prime factorization of 4508 in exponential form is:

4508 = 22 × 72 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 4489 and 4508.

LCM(4489,4508) = 672 × 22 × 72 × 231
LCM(4489,4508) = 20236412