What is the Least Common Multiple of 62313 and 62331?

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 62313 and 62331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62313 and 62331, than apply into the LCM equation.

GCF(62313,62331) = 3
LCM(62313,62331) = ( 62313 × 62331) / 3
LCM(62313,62331) = 3884031603 / 3
LCM(62313,62331) = 1294677201

Least Common Multiple (LCM) of 62313 and 62331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62313 and 62331. First we will calculate the prime factors of 62313 and 62331.

Prime Factorization of 62313

Prime Factorization of 62331

Now multiplying the highest exponent prime factors to calculate the LCM of 62313 and 62331.

LCM(62313,62331) = 3¹ × 20771¹ × 79¹ × 263¹
LCM(62313,62331) = 1294677201