What is the Least Common Multiple of 38772 and 38781?

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 38781 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 38781, than apply into the LCM equation.

GCF(38772,38781) = 9
LCM(38772,38781) = ( 38772 × 38781) / 9
LCM(38772,38781) = 1503616932 / 9
LCM(38772,38781) = 167068548

Least Common Multiple (LCM) of 38772 and 38781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38772 and 38781. First we will calculate the prime factors of 38772 and 38781.

Prime Factorization of 38772

Prime Factorization of 38781

Now multiplying the highest exponent prime factors to calculate the LCM of 38772 and 38781.

LCM(38772,38781) = 2² × 3³ × 359¹ × 31¹ × 139¹
LCM(38772,38781) = 167068548