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What is the Least Common Multiple of 26855 and 26870?

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 26855 and 26870 is 144318770.

LCM(26855,26870) = 144318770

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Least Common Multiple of 26855 and 26870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26855 and 26870, than apply into the LCM equation.

GCF(26855,26870) = 5
LCM(26855,26870) = ( 26855 × 26870) / 5
LCM(26855,26870) = 721593850 / 5
LCM(26855,26870) = 144318770

Least Common Multiple (LCM) of 26855 and 26870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26855 and 26870. First we will calculate the prime factors of 26855 and 26870.

Prime Factorization of 26855

Prime factors of 26855 are 5, 41, 131. Prime factorization of 26855 in exponential form is:

26855 = 51 × 411 × 1311

Prime Factorization of 26870

Prime factors of 26870 are 2, 5, 2687. Prime factorization of 26870 in exponential form is:

26870 = 21 × 51 × 26871

Now multiplying the highest exponent prime factors to calculate the LCM of 26855 and 26870.

LCM(26855,26870) = 51 × 411 × 1311 × 21 × 26871
LCM(26855,26870) = 144318770