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What is the Least Common Multiple of 26585 and 26590?

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 26585 and 26590 is 141379030.

LCM(26585,26590) = 141379030

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Least Common Multiple of 26585 and 26590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26585 and 26590, than apply into the LCM equation.

GCF(26585,26590) = 5
LCM(26585,26590) = ( 26585 × 26590) / 5
LCM(26585,26590) = 706895150 / 5
LCM(26585,26590) = 141379030

Least Common Multiple (LCM) of 26585 and 26590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26585 and 26590. First we will calculate the prime factors of 26585 and 26590.

Prime Factorization of 26585

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

26585 = 51 × 131 × 4091

Prime Factorization of 26590

Prime factors of 26590 are 2, 5, 2659. Prime factorization of 26590 in exponential form is:

26590 = 21 × 51 × 26591

Now multiplying the highest exponent prime factors to calculate the LCM of 26585 and 26590.

LCM(26585,26590) = 51 × 131 × 4091 × 21 × 26591
LCM(26585,26590) = 141379030