What is the Least Common Multiple of 27757 and 27766?

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 27757 and 27766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27757 and 27766, than apply into the LCM equation.

GCF(27757,27766) = 1
LCM(27757,27766) = ( 27757 × 27766) / 1
LCM(27757,27766) = 770700862 / 1
LCM(27757,27766) = 770700862

Least Common Multiple (LCM) of 27757 and 27766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27757 and 27766. First we will calculate the prime factors of 27757 and 27766.

Prime Factorization of 27757

Prime Factorization of 27766

Now multiplying the highest exponent prime factors to calculate the LCM of 27757 and 27766.

LCM(27757,27766) = 41¹ × 677¹ × 2¹ × 13883¹
LCM(27757,27766) = 770700862