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What is the Least Common Multiple of 2324 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 2324 and 2341 is 5440484.

LCM(2324,2341) = 5440484

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Least Common Multiple of 2324 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 2324 and 2341, than apply into the LCM equation.

GCF(2324,2341) = 1
LCM(2324,2341) = ( 2324 × 2341) / 1
LCM(2324,2341) = 5440484 / 1
LCM(2324,2341) = 5440484

Least Common Multiple (LCM) of 2324 and 2341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2324 and 2341. First we will calculate the prime factors of 2324 and 2341.

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 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 2324 and 2341.

LCM(2324,2341) = 22 × 71 × 831 × 23411
LCM(2324,2341) = 5440484