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What is the Least Common Multiple of 3615 and 3632?

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 3615 and 3632 is 13129680.

LCM(3615,3632) = 13129680

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Least Common Multiple of 3615 and 3632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3615 and 3632, than apply into the LCM equation.

GCF(3615,3632) = 1
LCM(3615,3632) = ( 3615 × 3632) / 1
LCM(3615,3632) = 13129680 / 1
LCM(3615,3632) = 13129680

Least Common Multiple (LCM) of 3615 and 3632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3615 and 3632. First we will calculate the prime factors of 3615 and 3632.

Prime Factorization of 3615

Prime factors of 3615 are 3, 5, 241. Prime factorization of 3615 in exponential form is:

3615 = 31 × 51 × 2411

Prime Factorization of 3632

Prime factors of 3632 are 2, 227. Prime factorization of 3632 in exponential form is:

3632 = 24 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 3615 and 3632.

LCM(3615,3632) = 31 × 51 × 2411 × 24 × 2271
LCM(3615,3632) = 13129680