What is the Least Common Multiple of 27249 and 27264?

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 27249 and 27264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27249 and 27264, than apply into the LCM equation.

GCF(27249,27264) = 3
LCM(27249,27264) = ( 27249 × 27264) / 3
LCM(27249,27264) = 742916736 / 3
LCM(27249,27264) = 247638912

Least Common Multiple (LCM) of 27249 and 27264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27249 and 27264. First we will calculate the prime factors of 27249 and 27264.

Prime Factorization of 27249

Prime Factorization of 27264

Now multiplying the highest exponent prime factors to calculate the LCM of 27249 and 27264.

LCM(27249,27264) = 3¹ × 31¹ × 293¹ × 2⁷ × 71¹
LCM(27249,27264) = 247638912