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What is the Least Common Multiple of 26513 and 26531?

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 26513 and 26531 is 703416403.

LCM(26513,26531) = 703416403

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Least Common Multiple of 26513 and 26531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26513 and 26531, than apply into the LCM equation.

GCF(26513,26531) = 1
LCM(26513,26531) = ( 26513 × 26531) / 1
LCM(26513,26531) = 703416403 / 1
LCM(26513,26531) = 703416403

Least Common Multiple (LCM) of 26513 and 26531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26513 and 26531. First we will calculate the prime factors of 26513 and 26531.

Prime Factorization of 26513

Prime factors of 26513 are 26513. Prime factorization of 26513 in exponential form is:

26513 = 265131

Prime Factorization of 26531

Prime factors of 26531 are 43, 617. Prime factorization of 26531 in exponential form is:

26531 = 431 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 26513 and 26531.

LCM(26513,26531) = 265131 × 431 × 6171
LCM(26513,26531) = 703416403