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What is the Least Common Multiple of 24233 and 24246?

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 24233 and 24246 is 587553318.

LCM(24233,24246) = 587553318

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Least Common Multiple of 24233 and 24246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24233 and 24246, than apply into the LCM equation.

GCF(24233,24246) = 1
LCM(24233,24246) = ( 24233 × 24246) / 1
LCM(24233,24246) = 587553318 / 1
LCM(24233,24246) = 587553318

Least Common Multiple (LCM) of 24233 and 24246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24233 and 24246. First we will calculate the prime factors of 24233 and 24246.

Prime Factorization of 24233

Prime factors of 24233 are 11, 2203. Prime factorization of 24233 in exponential form is:

24233 = 111 × 22031

Prime Factorization of 24246

Prime factors of 24246 are 2, 3, 449. Prime factorization of 24246 in exponential form is:

24246 = 21 × 33 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 24233 and 24246.

LCM(24233,24246) = 111 × 22031 × 21 × 33 × 4491
LCM(24233,24246) = 587553318