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What is the Least Common Multiple of 4508 and 4515?

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 4515 is 2907660.

LCM(4508,4515) = 2907660

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Least Common Multiple of 4508 and 4515 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 4515, than apply into the LCM equation.

GCF(4508,4515) = 7
LCM(4508,4515) = ( 4508 × 4515) / 7
LCM(4508,4515) = 20353620 / 7
LCM(4508,4515) = 2907660

Least Common Multiple (LCM) of 4508 and 4515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4508 and 4515. First we will calculate the prime factors of 4508 and 4515.

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 4515

Prime factors of 4515 are 3, 5, 7, 43. Prime factorization of 4515 in exponential form is:

4515 = 31 × 51 × 71 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 4508 and 4515.

LCM(4508,4515) = 22 × 72 × 231 × 31 × 51 × 431
LCM(4508,4515) = 2907660