What is the Least Common Multiple of 2312 and 2330?

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 2312 and 2330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2312 and 2330, than apply into the LCM equation.

GCF(2312,2330) = 2
LCM(2312,2330) = ( 2312 × 2330) / 2
LCM(2312,2330) = 5386960 / 2
LCM(2312,2330) = 2693480

Least Common Multiple (LCM) of 2312 and 2330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2312 and 2330. First we will calculate the prime factors of 2312 and 2330.

Prime Factorization of 2312

Prime Factorization of 2330

Now multiplying the highest exponent prime factors to calculate the LCM of 2312 and 2330.

LCM(2312,2330) = 2³ × 17² × 5¹ × 233¹
LCM(2312,2330) = 2693480