What is the Least Common Multiple of 54378 and 54396?

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 54378 and 54396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54378 and 54396, than apply into the LCM equation.

GCF(54378,54396) = 18
LCM(54378,54396) = ( 54378 × 54396) / 18
LCM(54378,54396) = 2957945688 / 18
LCM(54378,54396) = 164330316

Least Common Multiple (LCM) of 54378 and 54396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54378 and 54396. First we will calculate the prime factors of 54378 and 54396.

Prime Factorization of 54378

Prime Factorization of 54396

Now multiplying the highest exponent prime factors to calculate the LCM of 54378 and 54396.

LCM(54378,54396) = 2² × 3³ × 19¹ × 53¹ × 1511¹
LCM(54378,54396) = 164330316