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What is the Least Common Multiple of 2324 and 2337?

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 2324 and 2337 is 5431188.

LCM(2324,2337) = 5431188

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Least Common Multiple of 2324 and 2337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2324 and 2337, than apply into the LCM equation.

GCF(2324,2337) = 1
LCM(2324,2337) = ( 2324 × 2337) / 1
LCM(2324,2337) = 5431188 / 1
LCM(2324,2337) = 5431188

Least Common Multiple (LCM) of 2324 and 2337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2324 and 2337. First we will calculate the prime factors of 2324 and 2337.

Prime Factorization of 2324

Prime factors of 2324 are 2, 7, 83. Prime factorization of 2324 in exponential form is:

2324 = 22 × 71 × 831

Prime Factorization of 2337

Prime factors of 2337 are 3, 19, 41. Prime factorization of 2337 in exponential form is:

2337 = 31 × 191 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 2324 and 2337.

LCM(2324,2337) = 22 × 71 × 831 × 31 × 191 × 411
LCM(2324,2337) = 5431188