What is the Least Common Multiple of 27312 and 27317?

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 27312 and 27317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27312 and 27317, than apply into the LCM equation.

GCF(27312,27317) = 1
LCM(27312,27317) = ( 27312 × 27317) / 1
LCM(27312,27317) = 746081904 / 1
LCM(27312,27317) = 746081904

Least Common Multiple (LCM) of 27312 and 27317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27312 and 27317. First we will calculate the prime factors of 27312 and 27317.

Prime Factorization of 27312

Prime Factorization of 27317

Now multiplying the highest exponent prime factors to calculate the LCM of 27312 and 27317.

LCM(27312,27317) = 2⁴ × 3¹ × 569¹ × 59¹ × 463¹
LCM(27312,27317) = 746081904