What is the Least Common Multiple of 62313 and 62327?

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 62327 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 62327, than apply into the LCM equation.

GCF(62313,62327) = 1
LCM(62313,62327) = ( 62313 × 62327) / 1
LCM(62313,62327) = 3883782351 / 1
LCM(62313,62327) = 3883782351

Least Common Multiple (LCM) of 62313 and 62327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62313 and 62327. First we will calculate the prime factors of 62313 and 62327.

Prime Factorization of 62313

Prime Factorization of 62327

Now multiplying the highest exponent prime factors to calculate the LCM of 62313 and 62327.

LCM(62313,62327) = 3¹ × 20771¹ × 62327¹
LCM(62313,62327) = 3883782351