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What is the Least Common Multiple of 24868 and 24881?

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 24868 and 24881 is 618740708.

LCM(24868,24881) = 618740708

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Least Common Multiple of 24868 and 24881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24868 and 24881, than apply into the LCM equation.

GCF(24868,24881) = 1
LCM(24868,24881) = ( 24868 × 24881) / 1
LCM(24868,24881) = 618740708 / 1
LCM(24868,24881) = 618740708

Least Common Multiple (LCM) of 24868 and 24881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24868 and 24881. First we will calculate the prime factors of 24868 and 24881.

Prime Factorization of 24868

Prime factors of 24868 are 2, 6217. Prime factorization of 24868 in exponential form is:

24868 = 22 × 62171

Prime Factorization of 24881

Prime factors of 24881 are 139, 179. Prime factorization of 24881 in exponential form is:

24881 = 1391 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 24868 and 24881.

LCM(24868,24881) = 22 × 62171 × 1391 × 1791
LCM(24868,24881) = 618740708