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What is the Least Common Multiple of 26853 and 26873?

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 26853 and 26873 is 721620669.

LCM(26853,26873) = 721620669

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Least Common Multiple of 26853 and 26873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26853 and 26873, than apply into the LCM equation.

GCF(26853,26873) = 1
LCM(26853,26873) = ( 26853 × 26873) / 1
LCM(26853,26873) = 721620669 / 1
LCM(26853,26873) = 721620669

Least Common Multiple (LCM) of 26853 and 26873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26853 and 26873. First we will calculate the prime factors of 26853 and 26873.

Prime Factorization of 26853

Prime factors of 26853 are 3, 8951. Prime factorization of 26853 in exponential form is:

26853 = 31 × 89511

Prime Factorization of 26873

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

26873 = 71 × 111 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 26853 and 26873.

LCM(26853,26873) = 31 × 89511 × 71 × 111 × 3491
LCM(26853,26873) = 721620669