What is the Least Common Multiple of 62385 and 62395?

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 62385 and 62395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62385 and 62395, than apply into the LCM equation.

GCF(62385,62395) = 5
LCM(62385,62395) = ( 62385 × 62395) / 5
LCM(62385,62395) = 3892512075 / 5
LCM(62385,62395) = 778502415

Least Common Multiple (LCM) of 62385 and 62395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62385 and 62395. First we will calculate the prime factors of 62385 and 62395.

Prime Factorization of 62385

Prime Factorization of 62395

Now multiplying the highest exponent prime factors to calculate the LCM of 62385 and 62395.

LCM(62385,62395) = 3¹ × 5¹ × 4159¹ × 12479¹
LCM(62385,62395) = 778502415