What is the Least Common Multiple of 54342 and 54356?

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 54342 and 54356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54342 and 54356, than apply into the LCM equation.

GCF(54342,54356) = 2
LCM(54342,54356) = ( 54342 × 54356) / 2
LCM(54342,54356) = 2953813752 / 2
LCM(54342,54356) = 1476906876

Least Common Multiple (LCM) of 54342 and 54356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54342 and 54356. First we will calculate the prime factors of 54342 and 54356.

Prime Factorization of 54342

Prime Factorization of 54356

Now multiplying the highest exponent prime factors to calculate the LCM of 54342 and 54356.

LCM(54342,54356) = 2² × 3² × 3019¹ × 107¹ × 127¹
LCM(54342,54356) = 1476906876