What is the Least Common Multiple of 38805 and 38825?

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 38805 and 38825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38805 and 38825, than apply into the LCM equation.

GCF(38805,38825) = 5
LCM(38805,38825) = ( 38805 × 38825) / 5
LCM(38805,38825) = 1506604125 / 5
LCM(38805,38825) = 301320825

Least Common Multiple (LCM) of 38805 and 38825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38805 and 38825. First we will calculate the prime factors of 38805 and 38825.

Prime Factorization of 38805

Prime Factorization of 38825

Now multiplying the highest exponent prime factors to calculate the LCM of 38805 and 38825.

LCM(38805,38825) = 3¹ × 5² × 13¹ × 199¹ × 1553¹
LCM(38805,38825) = 301320825