What is the Least Common Multiple of 13650 and 13656?

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 13650 and 13656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13650 and 13656, than apply into the LCM equation.

GCF(13650,13656) = 6
LCM(13650,13656) = ( 13650 × 13656) / 6
LCM(13650,13656) = 186404400 / 6
LCM(13650,13656) = 31067400

Least Common Multiple (LCM) of 13650 and 13656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13650 and 13656. First we will calculate the prime factors of 13650 and 13656.

Prime Factorization of 13650

Prime Factorization of 13656

Now multiplying the highest exponent prime factors to calculate the LCM of 13650 and 13656.

LCM(13650,13656) = 2³ × 3¹ × 5² × 7¹ × 13¹ × 569¹
LCM(13650,13656) = 31067400