What is the Least Common Multiple of 38405 and 38415?

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 38405 and 38415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38405 and 38415, than apply into the LCM equation.

GCF(38405,38415) = 5
LCM(38405,38415) = ( 38405 × 38415) / 5
LCM(38405,38415) = 1475328075 / 5
LCM(38405,38415) = 295065615

Least Common Multiple (LCM) of 38405 and 38415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38405 and 38415. First we will calculate the prime factors of 38405 and 38415.

Prime Factorization of 38405

Prime Factorization of 38415

Now multiplying the highest exponent prime factors to calculate the LCM of 38405 and 38415.

LCM(38405,38415) = 5¹ × 7681¹ × 3¹ × 13¹ × 197¹
LCM(38405,38415) = 295065615