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What is the Least Common Multiple of 2323 and 2341?

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 2323 and 2341 is 5438143.

LCM(2323,2341) = 5438143

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Least Common Multiple of 2323 and 2341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2323 and 2341, than apply into the LCM equation.

GCF(2323,2341) = 1
LCM(2323,2341) = ( 2323 × 2341) / 1
LCM(2323,2341) = 5438143 / 1
LCM(2323,2341) = 5438143

Least Common Multiple (LCM) of 2323 and 2341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2323 and 2341. First we will calculate the prime factors of 2323 and 2341.

Prime Factorization of 2323

Prime factors of 2323 are 23, 101. Prime factorization of 2323 in exponential form is:

2323 = 231 × 1011

Prime Factorization of 2341

Prime factors of 2341 are 2341. Prime factorization of 2341 in exponential form is:

2341 = 23411

Now multiplying the highest exponent prime factors to calculate the LCM of 2323 and 2341.

LCM(2323,2341) = 231 × 1011 × 23411
LCM(2323,2341) = 5438143