What is the Least Common Multiple of 38772 and 38790?

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 38772 and 38790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38772 and 38790, than apply into the LCM equation.

GCF(38772,38790) = 18
LCM(38772,38790) = ( 38772 × 38790) / 18
LCM(38772,38790) = 1503965880 / 18
LCM(38772,38790) = 83553660

Least Common Multiple (LCM) of 38772 and 38790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38772 and 38790. First we will calculate the prime factors of 38772 and 38790.

Prime Factorization of 38772

Prime Factorization of 38790

Now multiplying the highest exponent prime factors to calculate the LCM of 38772 and 38790.

LCM(38772,38790) = 2² × 3³ × 359¹ × 5¹ × 431¹
LCM(38772,38790) = 83553660