What is the Least Common Multiple of 95172 and 95190?

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 95172 and 95190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95172 and 95190, than apply into the LCM equation.

GCF(95172,95190) = 6
LCM(95172,95190) = ( 95172 × 95190) / 6
LCM(95172,95190) = 9059422680 / 6
LCM(95172,95190) = 1509903780

Least Common Multiple (LCM) of 95172 and 95190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95172 and 95190. First we will calculate the prime factors of 95172 and 95190.

Prime Factorization of 95172

Prime Factorization of 95190

Now multiplying the highest exponent prime factors to calculate the LCM of 95172 and 95190.

LCM(95172,95190) = 2² × 3¹ × 7¹ × 11¹ × 103¹ × 5¹ × 19¹ × 167¹
LCM(95172,95190) = 1509903780