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What is the Least Common Multiple of 5323 and 5340?

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 5323 and 5340 is 28424820.

LCM(5323,5340) = 28424820

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Least Common Multiple of 5323 and 5340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5323 and 5340, than apply into the LCM equation.

GCF(5323,5340) = 1
LCM(5323,5340) = ( 5323 × 5340) / 1
LCM(5323,5340) = 28424820 / 1
LCM(5323,5340) = 28424820

Least Common Multiple (LCM) of 5323 and 5340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5323 and 5340. First we will calculate the prime factors of 5323 and 5340.

Prime Factorization of 5323

Prime factors of 5323 are 5323. Prime factorization of 5323 in exponential form is:

5323 = 53231

Prime Factorization of 5340

Prime factors of 5340 are 2, 3, 5, 89. Prime factorization of 5340 in exponential form is:

5340 = 22 × 31 × 51 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 5323 and 5340.

LCM(5323,5340) = 53231 × 22 × 31 × 51 × 891
LCM(5323,5340) = 28424820