What is the Least Common Multiple of 95532 and 95538?

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 95532 and 95538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95532 and 95538, than apply into the LCM equation.

GCF(95532,95538) = 6
LCM(95532,95538) = ( 95532 × 95538) / 6
LCM(95532,95538) = 9126936216 / 6
LCM(95532,95538) = 1521156036

Least Common Multiple (LCM) of 95532 and 95538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95532 and 95538. First we will calculate the prime factors of 95532 and 95538.

Prime Factorization of 95532

Prime Factorization of 95538

Now multiplying the highest exponent prime factors to calculate the LCM of 95532 and 95538.

LCM(95532,95538) = 2² × 3¹ × 19¹ × 419¹ × 15923¹
LCM(95532,95538) = 1521156036