What is the Least Common Multiple of 12766 and 12780?

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 12766 and 12780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12766 and 12780, than apply into the LCM equation.

GCF(12766,12780) = 2
LCM(12766,12780) = ( 12766 × 12780) / 2
LCM(12766,12780) = 163149480 / 2
LCM(12766,12780) = 81574740

Least Common Multiple (LCM) of 12766 and 12780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12766 and 12780. First we will calculate the prime factors of 12766 and 12780.

Prime Factorization of 12766

Prime Factorization of 12780

Now multiplying the highest exponent prime factors to calculate the LCM of 12766 and 12780.

LCM(12766,12780) = 2² × 13¹ × 491¹ × 3² × 5¹ × 71¹
LCM(12766,12780) = 81574740