What is the Least Common Multiple of 95484 and 95499?

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 95499 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 95499, than apply into the LCM equation.

GCF(95484,95499) = 3
LCM(95484,95499) = ( 95484 × 95499) / 3
LCM(95484,95499) = 9118626516 / 3
LCM(95484,95499) = 3039542172

Least Common Multiple (LCM) of 95484 and 95499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95484 and 95499. First we will calculate the prime factors of 95484 and 95499.

Prime Factorization of 95484

Prime Factorization of 95499

Now multiplying the highest exponent prime factors to calculate the LCM of 95484 and 95499.

LCM(95484,95499) = 2² × 3⁶ × 73¹ × 109¹ × 131¹
LCM(95484,95499) = 3039542172