What is the Least Common Multiple of 96471 and 96489?

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 96471 and 96489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96471 and 96489, than apply into the LCM equation.

GCF(96471,96489) = 9
LCM(96471,96489) = ( 96471 × 96489) / 9
LCM(96471,96489) = 9308390319 / 9
LCM(96471,96489) = 1034265591

Least Common Multiple (LCM) of 96471 and 96489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96471 and 96489. First we will calculate the prime factors of 96471 and 96489.

Prime Factorization of 96471

Prime Factorization of 96489

Now multiplying the highest exponent prime factors to calculate the LCM of 96471 and 96489.

LCM(96471,96489) = 3⁵ × 397¹ × 71¹ × 151¹
LCM(96471,96489) = 1034265591