What is the Least Common Multiple of 54684 and 54696?

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 54684 and 54696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54684 and 54696, than apply into the LCM equation.

GCF(54684,54696) = 12
LCM(54684,54696) = ( 54684 × 54696) / 12
LCM(54684,54696) = 2990996064 / 12
LCM(54684,54696) = 249249672

Least Common Multiple (LCM) of 54684 and 54696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54684 and 54696. First we will calculate the prime factors of 54684 and 54696.

Prime Factorization of 54684

Prime Factorization of 54696

Now multiplying the highest exponent prime factors to calculate the LCM of 54684 and 54696.

LCM(54684,54696) = 2³ × 3² × 7² × 31¹ × 43¹ × 53¹
LCM(54684,54696) = 249249672