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What is the Least Common Multiple of 24243 and 24263?

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 24243 and 24263 is 588207909.

LCM(24243,24263) = 588207909

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Least Common Multiple of 24243 and 24263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24243 and 24263, than apply into the LCM equation.

GCF(24243,24263) = 1
LCM(24243,24263) = ( 24243 × 24263) / 1
LCM(24243,24263) = 588207909 / 1
LCM(24243,24263) = 588207909

Least Common Multiple (LCM) of 24243 and 24263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24243 and 24263. First we will calculate the prime factors of 24243 and 24263.

Prime Factorization of 24243

Prime factors of 24243 are 3, 8081. Prime factorization of 24243 in exponential form is:

24243 = 31 × 80811

Prime Factorization of 24263

Prime factors of 24263 are 19, 1277. Prime factorization of 24263 in exponential form is:

24263 = 191 × 12771

Now multiplying the highest exponent prime factors to calculate the LCM of 24243 and 24263.

LCM(24243,24263) = 31 × 80811 × 191 × 12771
LCM(24243,24263) = 588207909