What is the Least Common Multiple of 13638 and 13644?

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 of 13638 and 13644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13638 and 13644, than apply into the LCM equation.

GCF(13638,13644) = 6
LCM(13638,13644) = ( 13638 × 13644) / 6
LCM(13638,13644) = 186076872 / 6
LCM(13638,13644) = 31012812

Least Common Multiple (LCM) of 13638 and 13644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13638 and 13644. First we will calculate the prime factors of 13638 and 13644.

Prime Factorization of 13638

Prime Factorization of 13644

Now multiplying the highest exponent prime factors to calculate the LCM of 13638 and 13644.

LCM(13638,13644) = 2² × 3² × 2273¹ × 379¹
LCM(13638,13644) = 31012812