What is the Least Common Multiple of 2359 and 2373?

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 2359 and 2373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2359 and 2373, than apply into the LCM equation.

GCF(2359,2373) = 7
LCM(2359,2373) = ( 2359 × 2373) / 7
LCM(2359,2373) = 5597907 / 7
LCM(2359,2373) = 799701

Least Common Multiple (LCM) of 2359 and 2373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2359 and 2373. First we will calculate the prime factors of 2359 and 2373.

Prime Factorization of 2359

Prime Factorization of 2373

Now multiplying the highest exponent prime factors to calculate the LCM of 2359 and 2373.

LCM(2359,2373) = 7¹ × 337¹ × 3¹ × 113¹
LCM(2359,2373) = 799701