What is the Least Common Multiple of 95490 and 95508?

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 95490 and 95508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95490 and 95508, than apply into the LCM equation.

GCF(95490,95508) = 18
LCM(95490,95508) = ( 95490 × 95508) / 18
LCM(95490,95508) = 9120058920 / 18
LCM(95490,95508) = 506669940

Least Common Multiple (LCM) of 95490 and 95508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95490 and 95508. First we will calculate the prime factors of 95490 and 95508.

Prime Factorization of 95490

Prime Factorization of 95508

Now multiplying the highest exponent prime factors to calculate the LCM of 95490 and 95508.

LCM(95490,95508) = 2² × 3² × 5¹ × 1061¹ × 7¹ × 379¹
LCM(95490,95508) = 506669940