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What is the Least Common Multiple of 24874 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 24874 and 24881 is 618889994.

LCM(24874,24881) = 618889994

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Least Common Multiple of 24874 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 24874 and 24881, than apply into the LCM equation.

GCF(24874,24881) = 1
LCM(24874,24881) = ( 24874 × 24881) / 1
LCM(24874,24881) = 618889994 / 1
LCM(24874,24881) = 618889994

Least Common Multiple (LCM) of 24874 and 24881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24874 and 24881. First we will calculate the prime factors of 24874 and 24881.

Prime Factorization of 24874

Prime factors of 24874 are 2, 12437. Prime factorization of 24874 in exponential form is:

24874 = 21 × 124371

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 24874 and 24881.

LCM(24874,24881) = 21 × 124371 × 1391 × 1791
LCM(24874,24881) = 618889994