What is the Least Common Multiple of 56175 and 56187?

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 56175 and 56187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56175 and 56187, than apply into the LCM equation.

GCF(56175,56187) = 3
LCM(56175,56187) = ( 56175 × 56187) / 3
LCM(56175,56187) = 3156304725 / 3
LCM(56175,56187) = 1052101575

Least Common Multiple (LCM) of 56175 and 56187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56175 and 56187. First we will calculate the prime factors of 56175 and 56187.

Prime Factorization of 56175

Prime Factorization of 56187

Now multiplying the highest exponent prime factors to calculate the LCM of 56175 and 56187.

LCM(56175,56187) = 3³ × 5² × 7¹ × 107¹ × 2081¹
LCM(56175,56187) = 1052101575