What is the Least Common Multiple of 38792 and 38805?

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 38805 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 38805, than apply into the LCM equation.

GCF(38792,38805) = 13
LCM(38792,38805) = ( 38792 × 38805) / 13
LCM(38792,38805) = 1505323560 / 13
LCM(38792,38805) = 115794120

Least Common Multiple (LCM) of 38792 and 38805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38792 and 38805. First we will calculate the prime factors of 38792 and 38805.

Prime Factorization of 38792

Prime Factorization of 38805

Now multiplying the highest exponent prime factors to calculate the LCM of 38792 and 38805.

LCM(38792,38805) = 2³ × 13¹ × 373¹ × 3¹ × 5¹ × 199¹
LCM(38792,38805) = 115794120