What is the Least Common Multiple of 2334 and 2345?

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 2334 and 2345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2334 and 2345, than apply into the LCM equation.

GCF(2334,2345) = 1
LCM(2334,2345) = ( 2334 × 2345) / 1
LCM(2334,2345) = 5473230 / 1
LCM(2334,2345) = 5473230

Least Common Multiple (LCM) of 2334 and 2345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2334 and 2345. First we will calculate the prime factors of 2334 and 2345.

Prime Factorization of 2334

Prime Factorization of 2345

Now multiplying the highest exponent prime factors to calculate the LCM of 2334 and 2345.

LCM(2334,2345) = 2¹ × 3¹ × 389¹ × 5¹ × 7¹ × 67¹
LCM(2334,2345) = 5473230