What is the Least Common Multiple of 12972 and 12981?

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 12972 and 12981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12972 and 12981, than apply into the LCM equation.

GCF(12972,12981) = 3
LCM(12972,12981) = ( 12972 × 12981) / 3
LCM(12972,12981) = 168389532 / 3
LCM(12972,12981) = 56129844

Least Common Multiple (LCM) of 12972 and 12981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12972 and 12981. First we will calculate the prime factors of 12972 and 12981.

Prime Factorization of 12972

Prime Factorization of 12981

Now multiplying the highest exponent prime factors to calculate the LCM of 12972 and 12981.

LCM(12972,12981) = 2² × 3¹ × 23¹ × 47¹ × 4327¹
LCM(12972,12981) = 56129844