What is the Least Common Multiple of 38792 and 38798?

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 38798 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 38798, than apply into the LCM equation.

GCF(38792,38798) = 2
LCM(38792,38798) = ( 38792 × 38798) / 2
LCM(38792,38798) = 1505052016 / 2
LCM(38792,38798) = 752526008

Least Common Multiple (LCM) of 38792 and 38798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38792 and 38798. First we will calculate the prime factors of 38792 and 38798.

Prime Factorization of 38792

Prime Factorization of 38798

Now multiplying the highest exponent prime factors to calculate the LCM of 38792 and 38798.

LCM(38792,38798) = 2³ × 13¹ × 373¹ × 19¹ × 1021¹
LCM(38792,38798) = 752526008