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What is the Least Common Multiple of 24533 and 24547?

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 24533 and 24547 is 602211551.

LCM(24533,24547) = 602211551

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Least Common Multiple of 24533 and 24547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24533 and 24547, than apply into the LCM equation.

GCF(24533,24547) = 1
LCM(24533,24547) = ( 24533 × 24547) / 1
LCM(24533,24547) = 602211551 / 1
LCM(24533,24547) = 602211551

Least Common Multiple (LCM) of 24533 and 24547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24533 and 24547. First we will calculate the prime factors of 24533 and 24547.

Prime Factorization of 24533

Prime factors of 24533 are 24533. Prime factorization of 24533 in exponential form is:

24533 = 245331

Prime Factorization of 24547

Prime factors of 24547 are 24547. Prime factorization of 24547 in exponential form is:

24547 = 245471

Now multiplying the highest exponent prime factors to calculate the LCM of 24533 and 24547.

LCM(24533,24547) = 245331 × 245471
LCM(24533,24547) = 602211551