What is the Least Common Multiple of 13656 and 13662?

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 13656 and 13662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13656 and 13662, than apply into the LCM equation.

GCF(13656,13662) = 6
LCM(13656,13662) = ( 13656 × 13662) / 6
LCM(13656,13662) = 186568272 / 6
LCM(13656,13662) = 31094712

Least Common Multiple (LCM) of 13656 and 13662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13656 and 13662. First we will calculate the prime factors of 13656 and 13662.

Prime Factorization of 13656

Prime Factorization of 13662

Now multiplying the highest exponent prime factors to calculate the LCM of 13656 and 13662.

LCM(13656,13662) = 2³ × 3³ × 569¹ × 11¹ × 23¹
LCM(13656,13662) = 31094712