What is the Least Common Multiple of 22312 and 22331?

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 22312 and 22331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22312 and 22331, than apply into the LCM equation.

GCF(22312,22331) = 1
LCM(22312,22331) = ( 22312 × 22331) / 1
LCM(22312,22331) = 498249272 / 1
LCM(22312,22331) = 498249272

Least Common Multiple (LCM) of 22312 and 22331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22312 and 22331. First we will calculate the prime factors of 22312 and 22331.

Prime Factorization of 22312

Prime Factorization of 22331

Now multiplying the highest exponent prime factors to calculate the LCM of 22312 and 22331.

LCM(22312,22331) = 2³ × 2789¹ × 137¹ × 163¹
LCM(22312,22331) = 498249272