What is the Least Common Multiple of 38792 and 38810?

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 38792 and 38810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38792 and 38810, than apply into the LCM equation.

GCF(38792,38810) = 2
LCM(38792,38810) = ( 38792 × 38810) / 2
LCM(38792,38810) = 1505517520 / 2
LCM(38792,38810) = 752758760

Least Common Multiple (LCM) of 38792 and 38810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38792 and 38810. First we will calculate the prime factors of 38792 and 38810.

Prime Factorization of 38792

Prime Factorization of 38810

Now multiplying the highest exponent prime factors to calculate the LCM of 38792 and 38810.

LCM(38792,38810) = 2³ × 13¹ × 373¹ × 5¹ × 3881¹
LCM(38792,38810) = 752758760