What is the Least Common Multiple of 2330 and 2341?

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 2330 and 2341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2330 and 2341, than apply into the LCM equation.

GCF(2330,2341) = 1
LCM(2330,2341) = ( 2330 × 2341) / 1
LCM(2330,2341) = 5454530 / 1
LCM(2330,2341) = 5454530

Least Common Multiple (LCM) of 2330 and 2341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2330 and 2341. First we will calculate the prime factors of 2330 and 2341.

Prime Factorization of 2330

Prime Factorization of 2341

Now multiplying the highest exponent prime factors to calculate the LCM of 2330 and 2341.

LCM(2330,2341) = 2¹ × 5¹ × 233¹ × 2341¹
LCM(2330,2341) = 5454530