What is the Least Common Multiple of 12981 and 12990?

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 12981 and 12990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12981 and 12990, than apply into the LCM equation.

GCF(12981,12990) = 3
LCM(12981,12990) = ( 12981 × 12990) / 3
LCM(12981,12990) = 168623190 / 3
LCM(12981,12990) = 56207730

Least Common Multiple (LCM) of 12981 and 12990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12981 and 12990. First we will calculate the prime factors of 12981 and 12990.

Prime Factorization of 12981

Prime Factorization of 12990

Now multiplying the highest exponent prime factors to calculate the LCM of 12981 and 12990.

LCM(12981,12990) = 3¹ × 4327¹ × 2¹ × 5¹ × 433¹
LCM(12981,12990) = 56207730