What is the Least Common Multiple of 54312 and 54332?

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 54312 and 54332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54312 and 54332, than apply into the LCM equation.

GCF(54312,54332) = 4
LCM(54312,54332) = ( 54312 × 54332) / 4
LCM(54312,54332) = 2950879584 / 4
LCM(54312,54332) = 737719896

Least Common Multiple (LCM) of 54312 and 54332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54312 and 54332. First we will calculate the prime factors of 54312 and 54332.

Prime Factorization of 54312

Prime Factorization of 54332

Now multiplying the highest exponent prime factors to calculate the LCM of 54312 and 54332.

LCM(54312,54332) = 2³ × 3¹ × 31¹ × 73¹ × 17² × 47¹
LCM(54312,54332) = 737719896