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What is the Least Common Multiple of 2343 and 2363?

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 2343 and 2363 is 5536509.

LCM(2343,2363) = 5536509

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Least Common Multiple of 2343 and 2363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2343 and 2363, than apply into the LCM equation.

GCF(2343,2363) = 1
LCM(2343,2363) = ( 2343 × 2363) / 1
LCM(2343,2363) = 5536509 / 1
LCM(2343,2363) = 5536509

Least Common Multiple (LCM) of 2343 and 2363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2343 and 2363. First we will calculate the prime factors of 2343 and 2363.

Prime Factorization of 2343

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

2343 = 31 × 111 × 711

Prime Factorization of 2363

Prime factors of 2363 are 17, 139. Prime factorization of 2363 in exponential form is:

2363 = 171 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 2343 and 2363.

LCM(2343,2363) = 31 × 111 × 711 × 171 × 1391
LCM(2343,2363) = 5536509