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What is the Least Common Multiple of 24437 and 24445?

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 24437 and 24445 is 597362465.

LCM(24437,24445) = 597362465

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Least Common Multiple of 24437 and 24445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24437 and 24445, than apply into the LCM equation.

GCF(24437,24445) = 1
LCM(24437,24445) = ( 24437 × 24445) / 1
LCM(24437,24445) = 597362465 / 1
LCM(24437,24445) = 597362465

Least Common Multiple (LCM) of 24437 and 24445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24437 and 24445. First we will calculate the prime factors of 24437 and 24445.

Prime Factorization of 24437

Prime factors of 24437 are 7, 3491. Prime factorization of 24437 in exponential form is:

24437 = 71 × 34911

Prime Factorization of 24445

Prime factors of 24445 are 5, 4889. Prime factorization of 24445 in exponential form is:

24445 = 51 × 48891

Now multiplying the highest exponent prime factors to calculate the LCM of 24437 and 24445.

LCM(24437,24445) = 71 × 34911 × 51 × 48891
LCM(24437,24445) = 597362465