What is the Least Common Multiple of 95472 and 95489?

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 95472 and 95489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95472 and 95489, than apply into the LCM equation.

GCF(95472,95489) = 17
LCM(95472,95489) = ( 95472 × 95489) / 17
LCM(95472,95489) = 9116525808 / 17
LCM(95472,95489) = 536266224

Least Common Multiple (LCM) of 95472 and 95489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95472 and 95489. First we will calculate the prime factors of 95472 and 95489.

Prime Factorization of 95472

Prime Factorization of 95489

Now multiplying the highest exponent prime factors to calculate the LCM of 95472 and 95489.

LCM(95472,95489) = 2⁴ × 3³ × 13¹ × 17¹ × 41¹ × 137¹
LCM(95472,95489) = 536266224