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What is the Least Common Multiple of 26580 and 26585?

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 26580 and 26585 is 141325860.

LCM(26580,26585) = 141325860

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Least Common Multiple of 26580 and 26585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26580 and 26585, than apply into the LCM equation.

GCF(26580,26585) = 5
LCM(26580,26585) = ( 26580 × 26585) / 5
LCM(26580,26585) = 706629300 / 5
LCM(26580,26585) = 141325860

Least Common Multiple (LCM) of 26580 and 26585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26580 and 26585. First we will calculate the prime factors of 26580 and 26585.

Prime Factorization of 26580

Prime factors of 26580 are 2, 3, 5, 443. Prime factorization of 26580 in exponential form is:

26580 = 22 × 31 × 51 × 4431

Prime Factorization of 26585

Prime factors of 26585 are 5, 13, 409. Prime factorization of 26585 in exponential form is:

26585 = 51 × 131 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 26580 and 26585.

LCM(26580,26585) = 22 × 31 × 51 × 4431 × 131 × 4091
LCM(26580,26585) = 141325860