What is the Least Common Multiple of 13164 and 13178?

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 13164 and 13178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13164 and 13178, than apply into the LCM equation.

GCF(13164,13178) = 2
LCM(13164,13178) = ( 13164 × 13178) / 2
LCM(13164,13178) = 173475192 / 2
LCM(13164,13178) = 86737596

Least Common Multiple (LCM) of 13164 and 13178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13164 and 13178. First we will calculate the prime factors of 13164 and 13178.

Prime Factorization of 13164

Prime Factorization of 13178

Now multiplying the highest exponent prime factors to calculate the LCM of 13164 and 13178.

LCM(13164,13178) = 2² × 3¹ × 1097¹ × 11¹ × 599¹
LCM(13164,13178) = 86737596