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What is the Least Common Multiple of 2392 and 2398?

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 2392 and 2398 is 2868008.

LCM(2392,2398) = 2868008

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Least Common Multiple of 2392 and 2398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2392 and 2398, than apply into the LCM equation.

GCF(2392,2398) = 2
LCM(2392,2398) = ( 2392 × 2398) / 2
LCM(2392,2398) = 5736016 / 2
LCM(2392,2398) = 2868008

Least Common Multiple (LCM) of 2392 and 2398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2392 and 2398. First we will calculate the prime factors of 2392 and 2398.

Prime Factorization of 2392

Prime factors of 2392 are 2, 13, 23. Prime factorization of 2392 in exponential form is:

2392 = 23 × 131 × 231

Prime Factorization of 2398

Prime factors of 2398 are 2, 11, 109. Prime factorization of 2398 in exponential form is:

2398 = 21 × 111 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 2392 and 2398.

LCM(2392,2398) = 23 × 131 × 231 × 111 × 1091
LCM(2392,2398) = 2868008