What is the Least Common Multiple of 38805 and 38820?

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 38820 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 38820, than apply into the LCM equation.

GCF(38805,38820) = 15
LCM(38805,38820) = ( 38805 × 38820) / 15
LCM(38805,38820) = 1506410100 / 15
LCM(38805,38820) = 100427340

Least Common Multiple (LCM) of 38805 and 38820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38805 and 38820. First we will calculate the prime factors of 38805 and 38820.

Prime Factorization of 38805

Prime Factorization of 38820

Now multiplying the highest exponent prime factors to calculate the LCM of 38805 and 38820.

LCM(38805,38820) = 3¹ × 5¹ × 13¹ × 199¹ × 2² × 647¹
LCM(38805,38820) = 100427340