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What is the Least Common Multiple of 2332 and 2343?

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 2332 and 2343 is 496716.

LCM(2332,2343) = 496716

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Least Common Multiple of 2332 and 2343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2332 and 2343, than apply into the LCM equation.

GCF(2332,2343) = 11
LCM(2332,2343) = ( 2332 × 2343) / 11
LCM(2332,2343) = 5463876 / 11
LCM(2332,2343) = 496716

Least Common Multiple (LCM) of 2332 and 2343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2332 and 2343. First we will calculate the prime factors of 2332 and 2343.

Prime Factorization of 2332

Prime factors of 2332 are 2, 11, 53. Prime factorization of 2332 in exponential form is:

2332 = 22 × 111 × 531

Prime Factorization of 2343

Prime factors of 2343 are 3, 11, 71. Prime factorization of 2343 in exponential form is:

2343 = 31 × 111 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 2332 and 2343.

LCM(2332,2343) = 22 × 111 × 531 × 31 × 711
LCM(2332,2343) = 496716