What is the Least Common Multiple of 54105 and 54125?

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 54105 and 54125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54105 and 54125, than apply into the LCM equation.

GCF(54105,54125) = 5
LCM(54105,54125) = ( 54105 × 54125) / 5
LCM(54105,54125) = 2928433125 / 5
LCM(54105,54125) = 585686625

Least Common Multiple (LCM) of 54105 and 54125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54105 and 54125. First we will calculate the prime factors of 54105 and 54125.

Prime Factorization of 54105

Prime Factorization of 54125

Now multiplying the highest exponent prime factors to calculate the LCM of 54105 and 54125.

LCM(54105,54125) = 3¹ × 5³ × 3607¹ × 433¹
LCM(54105,54125) = 585686625