What is the Least Common Multiple of 62307 and 62323?

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 62307 and 62323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62307 and 62323, than apply into the LCM equation.

GCF(62307,62323) = 1
LCM(62307,62323) = ( 62307 × 62323) / 1
LCM(62307,62323) = 3883159161 / 1
LCM(62307,62323) = 3883159161

Least Common Multiple (LCM) of 62307 and 62323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62307 and 62323. First we will calculate the prime factors of 62307 and 62323.

Prime Factorization of 62307

Prime Factorization of 62323

Now multiplying the highest exponent prime factors to calculate the LCM of 62307 and 62323.

LCM(62307,62323) = 3² × 7¹ × 23¹ × 43¹ × 62323¹
LCM(62307,62323) = 3883159161