GCF and LCM Calculator Logo

What is the Least Common Multiple of 13672 and 13692?

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 13672 and 13692 is 46799256.

LCM(13672,13692) = 46799256

LCM Calculator and
and

Least Common Multiple of 13672 and 13692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13672 and 13692, than apply into the LCM equation.

GCF(13672,13692) = 4
LCM(13672,13692) = ( 13672 × 13692) / 4
LCM(13672,13692) = 187197024 / 4
LCM(13672,13692) = 46799256

Least Common Multiple (LCM) of 13672 and 13692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13672 and 13692. First we will calculate the prime factors of 13672 and 13692.

Prime Factorization of 13672

Prime factors of 13672 are 2, 1709. Prime factorization of 13672 in exponential form is:

13672 = 23 × 17091

Prime Factorization of 13692

Prime factors of 13692 are 2, 3, 7, 163. Prime factorization of 13692 in exponential form is:

13692 = 22 × 31 × 71 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 13672 and 13692.

LCM(13672,13692) = 23 × 17091 × 31 × 71 × 1631
LCM(13672,13692) = 46799256