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What is the Least Common Multiple of 26873 and 26877?

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 26877 is 722265621.

LCM(26873,26877) = 722265621

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Least Common Multiple of 26873 and 26877 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 26877, than apply into the LCM equation.

GCF(26873,26877) = 1
LCM(26873,26877) = ( 26873 × 26877) / 1
LCM(26873,26877) = 722265621 / 1
LCM(26873,26877) = 722265621

Least Common Multiple (LCM) of 26873 and 26877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26873 and 26877. First we will calculate the prime factors of 26873 and 26877.

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 26877

Prime factors of 26877 are 3, 17, 31. Prime factorization of 26877 in exponential form is:

26877 = 31 × 172 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 26873 and 26877.

LCM(26873,26877) = 71 × 111 × 3491 × 31 × 172 × 311
LCM(26873,26877) = 722265621