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What is the Least Common Multiple of 2376 and 2389?

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 2376 and 2389 is 5676264.

LCM(2376,2389) = 5676264

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Least Common Multiple of 2376 and 2389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2376 and 2389, than apply into the LCM equation.

GCF(2376,2389) = 1
LCM(2376,2389) = ( 2376 × 2389) / 1
LCM(2376,2389) = 5676264 / 1
LCM(2376,2389) = 5676264

Least Common Multiple (LCM) of 2376 and 2389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2376 and 2389. First we will calculate the prime factors of 2376 and 2389.

Prime Factorization of 2376

Prime factors of 2376 are 2, 3, 11. Prime factorization of 2376 in exponential form is:

2376 = 23 × 33 × 111

Prime Factorization of 2389

Prime factors of 2389 are 2389. Prime factorization of 2389 in exponential form is:

2389 = 23891

Now multiplying the highest exponent prime factors to calculate the LCM of 2376 and 2389.

LCM(2376,2389) = 23 × 33 × 111 × 23891
LCM(2376,2389) = 5676264