What is the Least Common Multiple of 38205 and 38209?

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 38205 and 38209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38205 and 38209, than apply into the LCM equation.

GCF(38205,38209) = 1
LCM(38205,38209) = ( 38205 × 38209) / 1
LCM(38205,38209) = 1459774845 / 1
LCM(38205,38209) = 1459774845

Least Common Multiple (LCM) of 38205 and 38209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38205 and 38209. First we will calculate the prime factors of 38205 and 38209.

Prime Factorization of 38205

Prime Factorization of 38209

Now multiplying the highest exponent prime factors to calculate the LCM of 38205 and 38209.

LCM(38205,38209) = 3³ × 5¹ × 283¹ × 19¹ × 2011¹
LCM(38205,38209) = 1459774845