What is the Least Common Multiple of 54460 and 54475?

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 54460 and 54475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54460 and 54475, than apply into the LCM equation.

GCF(54460,54475) = 5
LCM(54460,54475) = ( 54460 × 54475) / 5
LCM(54460,54475) = 2966708500 / 5
LCM(54460,54475) = 593341700

Least Common Multiple (LCM) of 54460 and 54475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54460 and 54475. First we will calculate the prime factors of 54460 and 54475.

Prime Factorization of 54460

Prime Factorization of 54475

Now multiplying the highest exponent prime factors to calculate the LCM of 54460 and 54475.

LCM(54460,54475) = 2² × 5² × 7¹ × 389¹ × 2179¹
LCM(54460,54475) = 593341700