What is the Least Common Multiple of 62296 and 62301?

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 62296 and 62301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62296 and 62301, than apply into the LCM equation.

GCF(62296,62301) = 1
LCM(62296,62301) = ( 62296 × 62301) / 1
LCM(62296,62301) = 3881103096 / 1
LCM(62296,62301) = 3881103096

Least Common Multiple (LCM) of 62296 and 62301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62296 and 62301. First we will calculate the prime factors of 62296 and 62301.

Prime Factorization of 62296

Prime Factorization of 62301

Now multiplying the highest exponent prime factors to calculate the LCM of 62296 and 62301.

LCM(62296,62301) = 2³ × 13¹ × 599¹ × 3¹ × 19¹ × 1093¹
LCM(62296,62301) = 3881103096