What is the Least Common Multiple of 12756 and 12766?

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 12756 and 12766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12756 and 12766, than apply into the LCM equation.

GCF(12756,12766) = 2
LCM(12756,12766) = ( 12756 × 12766) / 2
LCM(12756,12766) = 162843096 / 2
LCM(12756,12766) = 81421548

Least Common Multiple (LCM) of 12756 and 12766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12756 and 12766. First we will calculate the prime factors of 12756 and 12766.

Prime Factorization of 12756

Prime Factorization of 12766

Now multiplying the highest exponent prime factors to calculate the LCM of 12756 and 12766.

LCM(12756,12766) = 2² × 3¹ × 1063¹ × 13¹ × 491¹
LCM(12756,12766) = 81421548