What is the Least Common Multiple of 27359 and 27367?

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 27359 and 27367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27359 and 27367, than apply into the LCM equation.

GCF(27359,27367) = 1
LCM(27359,27367) = ( 27359 × 27367) / 1
LCM(27359,27367) = 748733753 / 1
LCM(27359,27367) = 748733753

Least Common Multiple (LCM) of 27359 and 27367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27359 and 27367. First we will calculate the prime factors of 27359 and 27367.

Prime Factorization of 27359

Prime Factorization of 27367

Now multiplying the highest exponent prime factors to calculate the LCM of 27359 and 27367.

LCM(27359,27367) = 109¹ × 251¹ × 27367¹
LCM(27359,27367) = 748733753