What is the Least Common Multiple of 2374 and 2381?

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 2374 and 2381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2374 and 2381, than apply into the LCM equation.

GCF(2374,2381) = 1
LCM(2374,2381) = ( 2374 × 2381) / 1
LCM(2374,2381) = 5652494 / 1
LCM(2374,2381) = 5652494

Least Common Multiple (LCM) of 2374 and 2381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2374 and 2381. First we will calculate the prime factors of 2374 and 2381.

Prime Factorization of 2374

Prime Factorization of 2381

Now multiplying the highest exponent prime factors to calculate the LCM of 2374 and 2381.

LCM(2374,2381) = 2¹ × 1187¹ × 2381¹
LCM(2374,2381) = 5652494