What is the Least Common Multiple of 36981 and 36996?

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 36981 and 36996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36981 and 36996, than apply into the LCM equation.

GCF(36981,36996) = 3
LCM(36981,36996) = ( 36981 × 36996) / 3
LCM(36981,36996) = 1368149076 / 3
LCM(36981,36996) = 456049692

Least Common Multiple (LCM) of 36981 and 36996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36981 and 36996. First we will calculate the prime factors of 36981 and 36996.

Prime Factorization of 36981

Prime Factorization of 36996

Now multiplying the highest exponent prime factors to calculate the LCM of 36981 and 36996.

LCM(36981,36996) = 3² × 7¹ × 587¹ × 2² × 3083¹
LCM(36981,36996) = 456049692