What is the Least Common Multiple of 2379 and 2397?

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 2379 and 2397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2379 and 2397, than apply into the LCM equation.

GCF(2379,2397) = 3
LCM(2379,2397) = ( 2379 × 2397) / 3
LCM(2379,2397) = 5702463 / 3
LCM(2379,2397) = 1900821

Least Common Multiple (LCM) of 2379 and 2397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2379 and 2397. First we will calculate the prime factors of 2379 and 2397.

Prime Factorization of 2379

Prime Factorization of 2397

Now multiplying the highest exponent prime factors to calculate the LCM of 2379 and 2397.

LCM(2379,2397) = 3¹ × 13¹ × 61¹ × 17¹ × 47¹
LCM(2379,2397) = 1900821