What is the Least Common Multiple of 2374 and 2387?

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 2387 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 2387, than apply into the LCM equation.

GCF(2374,2387) = 1
LCM(2374,2387) = ( 2374 × 2387) / 1
LCM(2374,2387) = 5666738 / 1
LCM(2374,2387) = 5666738

Least Common Multiple (LCM) of 2374 and 2387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2374 and 2387. First we will calculate the prime factors of 2374 and 2387.

Prime Factorization of 2374

Prime Factorization of 2387

Now multiplying the highest exponent prime factors to calculate the LCM of 2374 and 2387.

LCM(2374,2387) = 2¹ × 1187¹ × 7¹ × 11¹ × 31¹
LCM(2374,2387) = 5666738