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What is the Least Common Multiple of 4508 and 4521?

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 4508 and 4521 is 20380668.

LCM(4508,4521) = 20380668

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Least Common Multiple of 4508 and 4521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4508 and 4521, than apply into the LCM equation.

GCF(4508,4521) = 1
LCM(4508,4521) = ( 4508 × 4521) / 1
LCM(4508,4521) = 20380668 / 1
LCM(4508,4521) = 20380668

Least Common Multiple (LCM) of 4508 and 4521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4508 and 4521. First we will calculate the prime factors of 4508 and 4521.

Prime Factorization of 4508

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

4508 = 22 × 72 × 231

Prime Factorization of 4521

Prime factors of 4521 are 3, 11, 137. Prime factorization of 4521 in exponential form is:

4521 = 31 × 111 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 4508 and 4521.

LCM(4508,4521) = 22 × 72 × 231 × 31 × 111 × 1371
LCM(4508,4521) = 20380668