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What is the Least Common Multiple of 3611 and 3627?

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 3611 and 3627 is 13097097.

LCM(3611,3627) = 13097097

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Least Common Multiple of 3611 and 3627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3611 and 3627, than apply into the LCM equation.

GCF(3611,3627) = 1
LCM(3611,3627) = ( 3611 × 3627) / 1
LCM(3611,3627) = 13097097 / 1
LCM(3611,3627) = 13097097

Least Common Multiple (LCM) of 3611 and 3627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3611 and 3627. First we will calculate the prime factors of 3611 and 3627.

Prime Factorization of 3611

Prime factors of 3611 are 23, 157. Prime factorization of 3611 in exponential form is:

3611 = 231 × 1571

Prime Factorization of 3627

Prime factors of 3627 are 3, 13, 31. Prime factorization of 3627 in exponential form is:

3627 = 32 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 3611 and 3627.

LCM(3611,3627) = 231 × 1571 × 32 × 131 × 311
LCM(3611,3627) = 13097097