What is the Least Common Multiple of 38405 and 38420?

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 38420 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 38420, than apply into the LCM equation.

GCF(38405,38420) = 5
LCM(38405,38420) = ( 38405 × 38420) / 5
LCM(38405,38420) = 1475520100 / 5
LCM(38405,38420) = 295104020

Least Common Multiple (LCM) of 38405 and 38420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38405 and 38420. First we will calculate the prime factors of 38405 and 38420.

Prime Factorization of 38405

Prime Factorization of 38420

Now multiplying the highest exponent prime factors to calculate the LCM of 38405 and 38420.

LCM(38405,38420) = 5¹ × 7681¹ × 2² × 17¹ × 113¹
LCM(38405,38420) = 295104020