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What is the Least Common Multiple of 2373 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 (LCM) of 2373 and 2379 is 1881789.

LCM(2373,2379) = 1881789

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Least Common Multiple of 2373 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 2373 and 2379, than apply into the LCM equation.

GCF(2373,2379) = 3
LCM(2373,2379) = ( 2373 × 2379) / 3
LCM(2373,2379) = 5645367 / 3
LCM(2373,2379) = 1881789

Least Common Multiple (LCM) of 2373 and 2379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2373 and 2379. First we will calculate the prime factors of 2373 and 2379.

Prime Factorization of 2373

Prime factors of 2373 are 3, 7, 113. Prime factorization of 2373 in exponential form is:

2373 = 31 × 71 × 1131

Prime Factorization of 2379

Prime factors of 2379 are 3, 13, 61. Prime factorization of 2379 in exponential form is:

2379 = 31 × 131 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 2373 and 2379.

LCM(2373,2379) = 31 × 71 × 1131 × 131 × 611
LCM(2373,2379) = 1881789