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What is the Least Common Multiple of 24188 and 24201?

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 24188 and 24201 is 585373788.

LCM(24188,24201) = 585373788

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Least Common Multiple of 24188 and 24201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24188 and 24201, than apply into the LCM equation.

GCF(24188,24201) = 1
LCM(24188,24201) = ( 24188 × 24201) / 1
LCM(24188,24201) = 585373788 / 1
LCM(24188,24201) = 585373788

Least Common Multiple (LCM) of 24188 and 24201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24188 and 24201. First we will calculate the prime factors of 24188 and 24201.

Prime Factorization of 24188

Prime factors of 24188 are 2, 6047. Prime factorization of 24188 in exponential form is:

24188 = 22 × 60471

Prime Factorization of 24201

Prime factors of 24201 are 3, 2689. Prime factorization of 24201 in exponential form is:

24201 = 32 × 26891

Now multiplying the highest exponent prime factors to calculate the LCM of 24188 and 24201.

LCM(24188,24201) = 22 × 60471 × 32 × 26891
LCM(24188,24201) = 585373788