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What is the Least Common Multiple of 26584 and 26596?

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 26584 and 26596 is 176757016.

LCM(26584,26596) = 176757016

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Least Common Multiple of 26584 and 26596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26584 and 26596, than apply into the LCM equation.

GCF(26584,26596) = 4
LCM(26584,26596) = ( 26584 × 26596) / 4
LCM(26584,26596) = 707028064 / 4
LCM(26584,26596) = 176757016

Least Common Multiple (LCM) of 26584 and 26596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26584 and 26596. First we will calculate the prime factors of 26584 and 26596.

Prime Factorization of 26584

Prime factors of 26584 are 2, 3323. Prime factorization of 26584 in exponential form is:

26584 = 23 × 33231

Prime Factorization of 26596

Prime factors of 26596 are 2, 61, 109. Prime factorization of 26596 in exponential form is:

26596 = 22 × 611 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 26584 and 26596.

LCM(26584,26596) = 23 × 33231 × 611 × 1091
LCM(26584,26596) = 176757016