What is the Least Common Multiple of 95190 and 95200?

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 95190 and 95200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95190 and 95200, than apply into the LCM equation.

GCF(95190,95200) = 10
LCM(95190,95200) = ( 95190 × 95200) / 10
LCM(95190,95200) = 9062088000 / 10
LCM(95190,95200) = 906208800

Least Common Multiple (LCM) of 95190 and 95200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95190 and 95200. First we will calculate the prime factors of 95190 and 95200.

Prime Factorization of 95190

Prime Factorization of 95200

Now multiplying the highest exponent prime factors to calculate the LCM of 95190 and 95200.

LCM(95190,95200) = 2⁵ × 3¹ × 5² × 19¹ × 167¹ × 7¹ × 17¹
LCM(95190,95200) = 906208800