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What is the Least Common Multiple of 3615 and 3628?

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 3628 is 13115220.

LCM(3615,3628) = 13115220

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Least Common Multiple of 3615 and 3628 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 3628, than apply into the LCM equation.

GCF(3615,3628) = 1
LCM(3615,3628) = ( 3615 × 3628) / 1
LCM(3615,3628) = 13115220 / 1
LCM(3615,3628) = 13115220

Least Common Multiple (LCM) of 3615 and 3628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3615 and 3628. First we will calculate the prime factors of 3615 and 3628.

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 3628

Prime factors of 3628 are 2, 907. Prime factorization of 3628 in exponential form is:

3628 = 22 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 3615 and 3628.

LCM(3615,3628) = 31 × 51 × 2411 × 22 × 9071
LCM(3615,3628) = 13115220