What is the Least Common Multiple of 2346 and 2354?

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 2346 and 2354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2346 and 2354, than apply into the LCM equation.

GCF(2346,2354) = 2
LCM(2346,2354) = ( 2346 × 2354) / 2
LCM(2346,2354) = 5522484 / 2
LCM(2346,2354) = 2761242

Least Common Multiple (LCM) of 2346 and 2354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2346 and 2354. First we will calculate the prime factors of 2346 and 2354.

Prime Factorization of 2346

Prime Factorization of 2354

Now multiplying the highest exponent prime factors to calculate the LCM of 2346 and 2354.

LCM(2346,2354) = 2¹ × 3¹ × 17¹ × 23¹ × 11¹ × 107¹
LCM(2346,2354) = 2761242