What is the Least Common Multiple of 54456 and 54472?

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 54456 and 54472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54456 and 54472, than apply into the LCM equation.

GCF(54456,54472) = 8
LCM(54456,54472) = ( 54456 × 54472) / 8
LCM(54456,54472) = 2966327232 / 8
LCM(54456,54472) = 370790904

Least Common Multiple (LCM) of 54456 and 54472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54456 and 54472. First we will calculate the prime factors of 54456 and 54472.

Prime Factorization of 54456

Prime Factorization of 54472

Now multiplying the highest exponent prime factors to calculate the LCM of 54456 and 54472.

LCM(54456,54472) = 2³ × 3¹ × 2269¹ × 11¹ × 619¹
LCM(54456,54472) = 370790904