What is the Least Common Multiple of 12874 and 12888?

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 12874 and 12888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12874 and 12888, than apply into the LCM equation.

GCF(12874,12888) = 2
LCM(12874,12888) = ( 12874 × 12888) / 2
LCM(12874,12888) = 165920112 / 2
LCM(12874,12888) = 82960056

Least Common Multiple (LCM) of 12874 and 12888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12874 and 12888. First we will calculate the prime factors of 12874 and 12888.

Prime Factorization of 12874

Prime Factorization of 12888

Now multiplying the highest exponent prime factors to calculate the LCM of 12874 and 12888.

LCM(12874,12888) = 2³ × 41¹ × 157¹ × 3² × 179¹
LCM(12874,12888) = 82960056