What is the Least Common Multiple of 36654 and 36663?

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 36654 and 36663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36654 and 36663, than apply into the LCM equation.

GCF(36654,36663) = 3
LCM(36654,36663) = ( 36654 × 36663) / 3
LCM(36654,36663) = 1343845602 / 3
LCM(36654,36663) = 447948534

Least Common Multiple (LCM) of 36654 and 36663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36654 and 36663. First we will calculate the prime factors of 36654 and 36663.

Prime Factorization of 36654

Prime Factorization of 36663

Now multiplying the highest exponent prime factors to calculate the LCM of 36654 and 36663.

LCM(36654,36663) = 2¹ × 3¹ × 41¹ × 149¹ × 11² × 101¹
LCM(36654,36663) = 447948534