What is the Least Common Multiple of 14772 and 14790?

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 14772 and 14790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14772 and 14790, than apply into the LCM equation.

GCF(14772,14790) = 6
LCM(14772,14790) = ( 14772 × 14790) / 6
LCM(14772,14790) = 218477880 / 6
LCM(14772,14790) = 36412980

Least Common Multiple (LCM) of 14772 and 14790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14772 and 14790. First we will calculate the prime factors of 14772 and 14790.

Prime Factorization of 14772

Prime Factorization of 14790

Now multiplying the highest exponent prime factors to calculate the LCM of 14772 and 14790.

LCM(14772,14790) = 2² × 3¹ × 1231¹ × 5¹ × 17¹ × 29¹
LCM(14772,14790) = 36412980