What is the Least Common Multiple of 96531 and 96549?

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 96531 and 96549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96531 and 96549, than apply into the LCM equation.

GCF(96531,96549) = 3
LCM(96531,96549) = ( 96531 × 96549) / 3
LCM(96531,96549) = 9319971519 / 3
LCM(96531,96549) = 3106657173

Least Common Multiple (LCM) of 96531 and 96549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96531 and 96549. First we will calculate the prime factors of 96531 and 96549.

Prime Factorization of 96531

Prime Factorization of 96549

Now multiplying the highest exponent prime factors to calculate the LCM of 96531 and 96549.

LCM(96531,96549) = 3¹ × 23¹ × 1399¹ × 32183¹
LCM(96531,96549) = 3106657173