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What is the Least Common Multiple of 24858 and 24863?

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 24863 is 618044454.

LCM(24858,24863) = 618044454

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Least Common Multiple of 24858 and 24863 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 24863, than apply into the LCM equation.

GCF(24858,24863) = 1
LCM(24858,24863) = ( 24858 × 24863) / 1
LCM(24858,24863) = 618044454 / 1
LCM(24858,24863) = 618044454

Least Common Multiple (LCM) of 24858 and 24863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24858 and 24863. First we will calculate the prime factors of 24858 and 24863.

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 24863

Prime factors of 24863 are 23, 47. Prime factorization of 24863 in exponential form is:

24863 = 232 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 24858 and 24863.

LCM(24858,24863) = 21 × 32 × 13811 × 232 × 471
LCM(24858,24863) = 618044454