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What is the Least Common Multiple of 24873 and 24877?

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 24873 and 24877 is 618765621.

LCM(24873,24877) = 618765621

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Least Common Multiple of 24873 and 24877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24873 and 24877, than apply into the LCM equation.

GCF(24873,24877) = 1
LCM(24873,24877) = ( 24873 × 24877) / 1
LCM(24873,24877) = 618765621 / 1
LCM(24873,24877) = 618765621

Least Common Multiple (LCM) of 24873 and 24877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24873 and 24877. First we will calculate the prime factors of 24873 and 24877.

Prime Factorization of 24873

Prime factors of 24873 are 3, 8291. Prime factorization of 24873 in exponential form is:

24873 = 31 × 82911

Prime Factorization of 24877

Prime factors of 24877 are 24877. Prime factorization of 24877 in exponential form is:

24877 = 248771

Now multiplying the highest exponent prime factors to calculate the LCM of 24873 and 24877.

LCM(24873,24877) = 31 × 82911 × 248771
LCM(24873,24877) = 618765621