GCF and LCM Calculator Logo

What is the Least Common Multiple of 3612 and 3631?

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 3612 and 3631 is 13115172.

LCM(3612,3631) = 13115172

LCM Calculator and
and

Least Common Multiple of 3612 and 3631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3612 and 3631, than apply into the LCM equation.

GCF(3612,3631) = 1
LCM(3612,3631) = ( 3612 × 3631) / 1
LCM(3612,3631) = 13115172 / 1
LCM(3612,3631) = 13115172

Least Common Multiple (LCM) of 3612 and 3631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3612 and 3631. First we will calculate the prime factors of 3612 and 3631.

Prime Factorization of 3612

Prime factors of 3612 are 2, 3, 7, 43. Prime factorization of 3612 in exponential form is:

3612 = 22 × 31 × 71 × 431

Prime Factorization of 3631

Prime factors of 3631 are 3631. Prime factorization of 3631 in exponential form is:

3631 = 36311

Now multiplying the highest exponent prime factors to calculate the LCM of 3612 and 3631.

LCM(3612,3631) = 22 × 31 × 71 × 431 × 36311
LCM(3612,3631) = 13115172