What is the Least Common Multiple of 13236 and 13251?

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 13236 and 13251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13236 and 13251, than apply into the LCM equation.

GCF(13236,13251) = 3
LCM(13236,13251) = ( 13236 × 13251) / 3
LCM(13236,13251) = 175390236 / 3
LCM(13236,13251) = 58463412

Least Common Multiple (LCM) of 13236 and 13251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13236 and 13251. First we will calculate the prime factors of 13236 and 13251.

Prime Factorization of 13236

Prime Factorization of 13251

Now multiplying the highest exponent prime factors to calculate the LCM of 13236 and 13251.

LCM(13236,13251) = 2² × 3¹ × 1103¹ × 7¹ × 631¹
LCM(13236,13251) = 58463412