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What is the Least Common Multiple of 26858 and 26867?

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 26858 and 26867 is 721593886.

LCM(26858,26867) = 721593886

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Least Common Multiple of 26858 and 26867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26858 and 26867, than apply into the LCM equation.

GCF(26858,26867) = 1
LCM(26858,26867) = ( 26858 × 26867) / 1
LCM(26858,26867) = 721593886 / 1
LCM(26858,26867) = 721593886

Least Common Multiple (LCM) of 26858 and 26867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26858 and 26867. First we will calculate the prime factors of 26858 and 26867.

Prime Factorization of 26858

Prime factors of 26858 are 2, 13, 1033. Prime factorization of 26858 in exponential form is:

26858 = 21 × 131 × 10331

Prime Factorization of 26867

Prime factors of 26867 are 67, 401. Prime factorization of 26867 in exponential form is:

26867 = 671 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 26858 and 26867.

LCM(26858,26867) = 21 × 131 × 10331 × 671 × 4011
LCM(26858,26867) = 721593886