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What is the Least Common Multiple of 2368 and 2388?

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 2368 and 2388 is 1413696.

LCM(2368,2388) = 1413696

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Least Common Multiple of 2368 and 2388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2368 and 2388, than apply into the LCM equation.

GCF(2368,2388) = 4
LCM(2368,2388) = ( 2368 × 2388) / 4
LCM(2368,2388) = 5654784 / 4
LCM(2368,2388) = 1413696

Least Common Multiple (LCM) of 2368 and 2388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2368 and 2388. First we will calculate the prime factors of 2368 and 2388.

Prime Factorization of 2368

Prime factors of 2368 are 2, 37. Prime factorization of 2368 in exponential form is:

2368 = 26 × 371

Prime Factorization of 2388

Prime factors of 2388 are 2, 3, 199. Prime factorization of 2388 in exponential form is:

2388 = 22 × 31 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 2368 and 2388.

LCM(2368,2388) = 26 × 371 × 31 × 1991
LCM(2368,2388) = 1413696