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What is the Least Common Multiple of 26498 and 26515?

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 26498 and 26515 is 702594470.

LCM(26498,26515) = 702594470

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Least Common Multiple of 26498 and 26515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26498 and 26515, than apply into the LCM equation.

GCF(26498,26515) = 1
LCM(26498,26515) = ( 26498 × 26515) / 1
LCM(26498,26515) = 702594470 / 1
LCM(26498,26515) = 702594470

Least Common Multiple (LCM) of 26498 and 26515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26498 and 26515. First we will calculate the prime factors of 26498 and 26515.

Prime Factorization of 26498

Prime factors of 26498 are 2, 13249. Prime factorization of 26498 in exponential form is:

26498 = 21 × 132491

Prime Factorization of 26515

Prime factors of 26515 are 5, 5303. Prime factorization of 26515 in exponential form is:

26515 = 51 × 53031

Now multiplying the highest exponent prime factors to calculate the LCM of 26498 and 26515.

LCM(26498,26515) = 21 × 132491 × 51 × 53031
LCM(26498,26515) = 702594470