What is the Least Common Multiple of 27459 and 27477?

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 27459 and 27477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27459 and 27477, than apply into the LCM equation.

GCF(27459,27477) = 9
LCM(27459,27477) = ( 27459 × 27477) / 9
LCM(27459,27477) = 754490943 / 9
LCM(27459,27477) = 83832327

Least Common Multiple (LCM) of 27459 and 27477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27459 and 27477. First we will calculate the prime factors of 27459 and 27477.

Prime Factorization of 27459

Prime Factorization of 27477

Now multiplying the highest exponent prime factors to calculate the LCM of 27459 and 27477.

LCM(27459,27477) = 3⁵ × 113¹ × 43¹ × 71¹
LCM(27459,27477) = 83832327