What is the Least Common Multiple of 93249 and 93264?

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 93249 and 93264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93249 and 93264, than apply into the LCM equation.

GCF(93249,93264) = 3
LCM(93249,93264) = ( 93249 × 93264) / 3
LCM(93249,93264) = 8696774736 / 3
LCM(93249,93264) = 2898924912

Least Common Multiple (LCM) of 93249 and 93264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93249 and 93264. First we will calculate the prime factors of 93249 and 93264.

Prime Factorization of 93249

Prime Factorization of 93264

Now multiplying the highest exponent prime factors to calculate the LCM of 93249 and 93264.

LCM(93249,93264) = 3² × 13¹ × 797¹ × 2⁴ × 29¹ × 67¹
LCM(93249,93264) = 2898924912