What is the Least Common Multiple of 2315 and 2334?

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 2315 and 2334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2315 and 2334, than apply into the LCM equation.

GCF(2315,2334) = 1
LCM(2315,2334) = ( 2315 × 2334) / 1
LCM(2315,2334) = 5403210 / 1
LCM(2315,2334) = 5403210

Least Common Multiple (LCM) of 2315 and 2334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2315 and 2334. First we will calculate the prime factors of 2315 and 2334.

Prime Factorization of 2315

Prime Factorization of 2334

Now multiplying the highest exponent prime factors to calculate the LCM of 2315 and 2334.

LCM(2315,2334) = 5¹ × 463¹ × 2¹ × 3¹ × 389¹
LCM(2315,2334) = 5403210