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What is the Least Common Multiple of 26517 and 26524?

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 26517 and 26524 is 703336908.

LCM(26517,26524) = 703336908

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Least Common Multiple of 26517 and 26524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26517 and 26524, than apply into the LCM equation.

GCF(26517,26524) = 1
LCM(26517,26524) = ( 26517 × 26524) / 1
LCM(26517,26524) = 703336908 / 1
LCM(26517,26524) = 703336908

Least Common Multiple (LCM) of 26517 and 26524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26517 and 26524. First we will calculate the prime factors of 26517 and 26524.

Prime Factorization of 26517

Prime factors of 26517 are 3, 8839. Prime factorization of 26517 in exponential form is:

26517 = 31 × 88391

Prime Factorization of 26524

Prime factors of 26524 are 2, 19, 349. Prime factorization of 26524 in exponential form is:

26524 = 22 × 191 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 26517 and 26524.

LCM(26517,26524) = 31 × 88391 × 22 × 191 × 3491
LCM(26517,26524) = 703336908