What is the Least Common Multiple of 54175 and 54187?

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 54175 and 54187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54175 and 54187, than apply into the LCM equation.

GCF(54175,54187) = 1
LCM(54175,54187) = ( 54175 × 54187) / 1
LCM(54175,54187) = 2935580725 / 1
LCM(54175,54187) = 2935580725

Least Common Multiple (LCM) of 54175 and 54187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54175 and 54187. First we will calculate the prime factors of 54175 and 54187.

Prime Factorization of 54175

Prime Factorization of 54187

Now multiplying the highest exponent prime factors to calculate the LCM of 54175 and 54187.

LCM(54175,54187) = 5² × 11¹ × 197¹ × 7¹ × 7741¹
LCM(54175,54187) = 2935580725