What is the Least Common Multiple of 95175 and 95182?

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 95175 and 95182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95175 and 95182, than apply into the LCM equation.

GCF(95175,95182) = 1
LCM(95175,95182) = ( 95175 × 95182) / 1
LCM(95175,95182) = 9058946850 / 1
LCM(95175,95182) = 9058946850

Least Common Multiple (LCM) of 95175 and 95182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95175 and 95182. First we will calculate the prime factors of 95175 and 95182.

Prime Factorization of 95175

Prime Factorization of 95182

Now multiplying the highest exponent prime factors to calculate the LCM of 95175 and 95182.

LCM(95175,95182) = 3⁴ × 5² × 47¹ × 2¹ × 47591¹
LCM(95175,95182) = 9058946850