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What is the Least Common Multiple of 24858 and 24865?

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 24858 and 24865 is 618094170.

LCM(24858,24865) = 618094170

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Least Common Multiple of 24858 and 24865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24858 and 24865, than apply into the LCM equation.

GCF(24858,24865) = 1
LCM(24858,24865) = ( 24858 × 24865) / 1
LCM(24858,24865) = 618094170 / 1
LCM(24858,24865) = 618094170

Least Common Multiple (LCM) of 24858 and 24865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24858 and 24865. First we will calculate the prime factors of 24858 and 24865.

Prime Factorization of 24858

Prime factors of 24858 are 2, 3, 1381. Prime factorization of 24858 in exponential form is:

24858 = 21 × 32 × 13811

Prime Factorization of 24865

Prime factors of 24865 are 5, 4973. Prime factorization of 24865 in exponential form is:

24865 = 51 × 49731

Now multiplying the highest exponent prime factors to calculate the LCM of 24858 and 24865.

LCM(24858,24865) = 21 × 32 × 13811 × 51 × 49731
LCM(24858,24865) = 618094170