What is the Least Common Multiple of 12952 and 12966?

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 12952 and 12966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12952 and 12966, than apply into the LCM equation.

GCF(12952,12966) = 2
LCM(12952,12966) = ( 12952 × 12966) / 2
LCM(12952,12966) = 167935632 / 2
LCM(12952,12966) = 83967816

Least Common Multiple (LCM) of 12952 and 12966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12952 and 12966. First we will calculate the prime factors of 12952 and 12966.

Prime Factorization of 12952

Prime Factorization of 12966

Now multiplying the highest exponent prime factors to calculate the LCM of 12952 and 12966.

LCM(12952,12966) = 2³ × 1619¹ × 3¹ × 2161¹
LCM(12952,12966) = 83967816