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What is the Least Common Multiple of 26274 and 26292?

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 26274 and 26292 is 115132668.

LCM(26274,26292) = 115132668

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Least Common Multiple of 26274 and 26292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26274 and 26292, than apply into the LCM equation.

GCF(26274,26292) = 6
LCM(26274,26292) = ( 26274 × 26292) / 6
LCM(26274,26292) = 690796008 / 6
LCM(26274,26292) = 115132668

Least Common Multiple (LCM) of 26274 and 26292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26274 and 26292. First we will calculate the prime factors of 26274 and 26292.

Prime Factorization of 26274

Prime factors of 26274 are 2, 3, 29, 151. Prime factorization of 26274 in exponential form is:

26274 = 21 × 31 × 291 × 1511

Prime Factorization of 26292

Prime factors of 26292 are 2, 3, 7, 313. Prime factorization of 26292 in exponential form is:

26292 = 22 × 31 × 71 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 26274 and 26292.

LCM(26274,26292) = 22 × 31 × 291 × 1511 × 71 × 3131
LCM(26274,26292) = 115132668