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What is the Least Common Multiple of 24848 and 24867?

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 24848 and 24867 is 617895216.

LCM(24848,24867) = 617895216

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Least Common Multiple of 24848 and 24867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24848 and 24867, than apply into the LCM equation.

GCF(24848,24867) = 1
LCM(24848,24867) = ( 24848 × 24867) / 1
LCM(24848,24867) = 617895216 / 1
LCM(24848,24867) = 617895216

Least Common Multiple (LCM) of 24848 and 24867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24848 and 24867. First we will calculate the prime factors of 24848 and 24867.

Prime Factorization of 24848

Prime factors of 24848 are 2, 1553. Prime factorization of 24848 in exponential form is:

24848 = 24 × 15531

Prime Factorization of 24867

Prime factors of 24867 are 3, 307. Prime factorization of 24867 in exponential form is:

24867 = 34 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 24848 and 24867.

LCM(24848,24867) = 24 × 15531 × 34 × 3071
LCM(24848,24867) = 617895216