What is the Least Common Multiple of 62312 and 62332?

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 62312 and 62332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62312 and 62332, than apply into the LCM equation.

GCF(62312,62332) = 4
LCM(62312,62332) = ( 62312 × 62332) / 4
LCM(62312,62332) = 3884031584 / 4
LCM(62312,62332) = 971007896

Least Common Multiple (LCM) of 62312 and 62332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62312 and 62332. First we will calculate the prime factors of 62312 and 62332.

Prime Factorization of 62312

Prime Factorization of 62332

Now multiplying the highest exponent prime factors to calculate the LCM of 62312 and 62332.

LCM(62312,62332) = 2³ × 7789¹ × 15583¹
LCM(62312,62332) = 971007896