What is the Least Common Multiple of 2366 and 2379?

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 2366 and 2379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2366 and 2379, than apply into the LCM equation.

GCF(2366,2379) = 13
LCM(2366,2379) = ( 2366 × 2379) / 13
LCM(2366,2379) = 5628714 / 13
LCM(2366,2379) = 432978

Least Common Multiple (LCM) of 2366 and 2379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2366 and 2379. First we will calculate the prime factors of 2366 and 2379.

Prime Factorization of 2366

Prime Factorization of 2379

Now multiplying the highest exponent prime factors to calculate the LCM of 2366 and 2379.

LCM(2366,2379) = 2¹ × 7¹ × 13² × 3¹ × 61¹
LCM(2366,2379) = 432978