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What is the Least Common Multiple of 26504 and 26520?

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 26504 and 26520 is 87860760.

LCM(26504,26520) = 87860760

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Least Common Multiple of 26504 and 26520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26504 and 26520, than apply into the LCM equation.

GCF(26504,26520) = 8
LCM(26504,26520) = ( 26504 × 26520) / 8
LCM(26504,26520) = 702886080 / 8
LCM(26504,26520) = 87860760

Least Common Multiple (LCM) of 26504 and 26520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26504 and 26520. First we will calculate the prime factors of 26504 and 26520.

Prime Factorization of 26504

Prime factors of 26504 are 2, 3313. Prime factorization of 26504 in exponential form is:

26504 = 23 × 33131

Prime Factorization of 26520

Prime factors of 26520 are 2, 3, 5, 13, 17. Prime factorization of 26520 in exponential form is:

26520 = 23 × 31 × 51 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 26504 and 26520.

LCM(26504,26520) = 23 × 33131 × 31 × 51 × 131 × 171
LCM(26504,26520) = 87860760