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What is the Least Common Multiple of 26536 and 26549?

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 26536 and 26549 is 704504264.

LCM(26536,26549) = 704504264

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Least Common Multiple of 26536 and 26549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26536 and 26549, than apply into the LCM equation.

GCF(26536,26549) = 1
LCM(26536,26549) = ( 26536 × 26549) / 1
LCM(26536,26549) = 704504264 / 1
LCM(26536,26549) = 704504264

Least Common Multiple (LCM) of 26536 and 26549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26536 and 26549. First we will calculate the prime factors of 26536 and 26549.

Prime Factorization of 26536

Prime factors of 26536 are 2, 31, 107. Prime factorization of 26536 in exponential form is:

26536 = 23 × 311 × 1071

Prime Factorization of 26549

Prime factors of 26549 are 139, 191. Prime factorization of 26549 in exponential form is:

26549 = 1391 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 26536 and 26549.

LCM(26536,26549) = 23 × 311 × 1071 × 1391 × 1911
LCM(26536,26549) = 704504264