What is the Least Common Multiple of 95175 and 95181?

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 95181 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 95181, than apply into the LCM equation.

GCF(95175,95181) = 3
LCM(95175,95181) = ( 95175 × 95181) / 3
LCM(95175,95181) = 9058851675 / 3
LCM(95175,95181) = 3019617225

Least Common Multiple (LCM) of 95175 and 95181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95175 and 95181. First we will calculate the prime factors of 95175 and 95181.

Prime Factorization of 95175

Prime Factorization of 95181

Now multiplying the highest exponent prime factors to calculate the LCM of 95175 and 95181.

LCM(95175,95181) = 3⁴ × 5² × 47¹ × 31727¹
LCM(95175,95181) = 3019617225