GCF and LCM Calculator Logo

What is the Least Common Multiple of 3623 and 3638?

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 3623 and 3638 is 13180474.

LCM(3623,3638) = 13180474

LCM Calculator and
and

Least Common Multiple of 3623 and 3638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3623 and 3638, than apply into the LCM equation.

GCF(3623,3638) = 1
LCM(3623,3638) = ( 3623 × 3638) / 1
LCM(3623,3638) = 13180474 / 1
LCM(3623,3638) = 13180474

Least Common Multiple (LCM) of 3623 and 3638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3623 and 3638. First we will calculate the prime factors of 3623 and 3638.

Prime Factorization of 3623

Prime factors of 3623 are 3623. Prime factorization of 3623 in exponential form is:

3623 = 36231

Prime Factorization of 3638

Prime factors of 3638 are 2, 17, 107. Prime factorization of 3638 in exponential form is:

3638 = 21 × 171 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 3623 and 3638.

LCM(3623,3638) = 36231 × 21 × 171 × 1071
LCM(3623,3638) = 13180474