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What is the Least Common Multiple of 2394 and 2403?

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 2394 and 2403 is 639198.

LCM(2394,2403) = 639198

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Least Common Multiple of 2394 and 2403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2394 and 2403, than apply into the LCM equation.

GCF(2394,2403) = 9
LCM(2394,2403) = ( 2394 × 2403) / 9
LCM(2394,2403) = 5752782 / 9
LCM(2394,2403) = 639198

Least Common Multiple (LCM) of 2394 and 2403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2394 and 2403. First we will calculate the prime factors of 2394 and 2403.

Prime Factorization of 2394

Prime factors of 2394 are 2, 3, 7, 19. Prime factorization of 2394 in exponential form is:

2394 = 21 × 32 × 71 × 191

Prime Factorization of 2403

Prime factors of 2403 are 3, 89. Prime factorization of 2403 in exponential form is:

2403 = 33 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 2394 and 2403.

LCM(2394,2403) = 21 × 33 × 71 × 191 × 891
LCM(2394,2403) = 639198