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What is the Least Common Multiple of 26873 and 26883?

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 26873 and 26883 is 722426859.

LCM(26873,26883) = 722426859

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Least Common Multiple of 26873 and 26883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26873 and 26883, than apply into the LCM equation.

GCF(26873,26883) = 1
LCM(26873,26883) = ( 26873 × 26883) / 1
LCM(26873,26883) = 722426859 / 1
LCM(26873,26883) = 722426859

Least Common Multiple (LCM) of 26873 and 26883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26873 and 26883. First we will calculate the prime factors of 26873 and 26883.

Prime Factorization of 26873

Prime factors of 26873 are 7, 11, 349. Prime factorization of 26873 in exponential form is:

26873 = 71 × 111 × 3491

Prime Factorization of 26883

Prime factors of 26883 are 3, 29, 103. Prime factorization of 26883 in exponential form is:

26883 = 32 × 291 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 26873 and 26883.

LCM(26873,26883) = 71 × 111 × 3491 × 32 × 291 × 1031
LCM(26873,26883) = 722426859