What is the Least Common Multiple of 96549 and 96564?

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 96549 and 96564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96549 and 96564, than apply into the LCM equation.

GCF(96549,96564) = 3
LCM(96549,96564) = ( 96549 × 96564) / 3
LCM(96549,96564) = 9323157636 / 3
LCM(96549,96564) = 3107719212

Least Common Multiple (LCM) of 96549 and 96564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96549 and 96564. First we will calculate the prime factors of 96549 and 96564.

Prime Factorization of 96549

Prime Factorization of 96564

Now multiplying the highest exponent prime factors to calculate the LCM of 96549 and 96564.

LCM(96549,96564) = 3¹ × 32183¹ × 2² × 13¹ × 619¹
LCM(96549,96564) = 3107719212