What is the Least Common Multiple of 95484 and 95490?

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 95484 and 95490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95484 and 95490, than apply into the LCM equation.

GCF(95484,95490) = 6
LCM(95484,95490) = ( 95484 × 95490) / 6
LCM(95484,95490) = 9117767160 / 6
LCM(95484,95490) = 1519627860

Least Common Multiple (LCM) of 95484 and 95490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95484 and 95490. First we will calculate the prime factors of 95484 and 95490.

Prime Factorization of 95484

Prime Factorization of 95490

Now multiplying the highest exponent prime factors to calculate the LCM of 95484 and 95490.

LCM(95484,95490) = 2² × 3² × 73¹ × 109¹ × 5¹ × 1061¹
LCM(95484,95490) = 1519627860