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What is the Least Common Multiple of 24193 and 24203?

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 24193 and 24203 is 585543179.

LCM(24193,24203) = 585543179

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Least Common Multiple of 24193 and 24203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24193 and 24203, than apply into the LCM equation.

GCF(24193,24203) = 1
LCM(24193,24203) = ( 24193 × 24203) / 1
LCM(24193,24203) = 585543179 / 1
LCM(24193,24203) = 585543179

Least Common Multiple (LCM) of 24193 and 24203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24193 and 24203. First we will calculate the prime factors of 24193 and 24203.

Prime Factorization of 24193

Prime factors of 24193 are 13, 1861. Prime factorization of 24193 in exponential form is:

24193 = 131 × 18611

Prime Factorization of 24203

Prime factors of 24203 are 24203. Prime factorization of 24203 in exponential form is:

24203 = 242031

Now multiplying the highest exponent prime factors to calculate the LCM of 24193 and 24203.

LCM(24193,24203) = 131 × 18611 × 242031
LCM(24193,24203) = 585543179