What is the Least Common Multiple of 27276 and 27291?

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 27276 and 27291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27276 and 27291, than apply into the LCM equation.

GCF(27276,27291) = 3
LCM(27276,27291) = ( 27276 × 27291) / 3
LCM(27276,27291) = 744389316 / 3
LCM(27276,27291) = 248129772

Least Common Multiple (LCM) of 27276 and 27291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27276 and 27291. First we will calculate the prime factors of 27276 and 27291.

Prime Factorization of 27276

Prime Factorization of 27291

Now multiplying the highest exponent prime factors to calculate the LCM of 27276 and 27291.

LCM(27276,27291) = 2² × 3¹ × 2273¹ × 11¹ × 827¹
LCM(27276,27291) = 248129772