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What is the Least Common Multiple of 25845 and 25862?

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 25845 and 25862 is 668403390.

LCM(25845,25862) = 668403390

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Least Common Multiple of 25845 and 25862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25845 and 25862, than apply into the LCM equation.

GCF(25845,25862) = 1
LCM(25845,25862) = ( 25845 × 25862) / 1
LCM(25845,25862) = 668403390 / 1
LCM(25845,25862) = 668403390

Least Common Multiple (LCM) of 25845 and 25862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25845 and 25862. First we will calculate the prime factors of 25845 and 25862.

Prime Factorization of 25845

Prime factors of 25845 are 3, 5, 1723. Prime factorization of 25845 in exponential form is:

25845 = 31 × 51 × 17231

Prime Factorization of 25862

Prime factors of 25862 are 2, 67, 193. Prime factorization of 25862 in exponential form is:

25862 = 21 × 671 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 25845 and 25862.

LCM(25845,25862) = 31 × 51 × 17231 × 21 × 671 × 1931
LCM(25845,25862) = 668403390