What is the Least Common Multiple of 54456 and 54473?

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 54473 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 54473, than apply into the LCM equation.

GCF(54456,54473) = 1
LCM(54456,54473) = ( 54456 × 54473) / 1
LCM(54456,54473) = 2966381688 / 1
LCM(54456,54473) = 2966381688

Least Common Multiple (LCM) of 54456 and 54473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54456 and 54473. First we will calculate the prime factors of 54456 and 54473.

Prime Factorization of 54456

Prime Factorization of 54473

Now multiplying the highest exponent prime factors to calculate the LCM of 54456 and 54473.

LCM(54456,54473) = 2³ × 3¹ × 2269¹ × 19¹ × 47¹ × 61¹
LCM(54456,54473) = 2966381688