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What is the Least Common Multiple of 26581 and 26599?

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 26581 and 26599 is 707028019.

LCM(26581,26599) = 707028019

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Least Common Multiple of 26581 and 26599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26581 and 26599, than apply into the LCM equation.

GCF(26581,26599) = 1
LCM(26581,26599) = ( 26581 × 26599) / 1
LCM(26581,26599) = 707028019 / 1
LCM(26581,26599) = 707028019

Least Common Multiple (LCM) of 26581 and 26599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26581 and 26599. First we will calculate the prime factors of 26581 and 26599.

Prime Factorization of 26581

Prime factors of 26581 are 19, 1399. Prime factorization of 26581 in exponential form is:

26581 = 191 × 13991

Prime Factorization of 26599

Prime factors of 26599 are 67, 397. Prime factorization of 26599 in exponential form is:

26599 = 671 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 26581 and 26599.

LCM(26581,26599) = 191 × 13991 × 671 × 3971
LCM(26581,26599) = 707028019