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What is the Least Common Multiple of 35260 and 35279?

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 35260 and 35279 is 1243937540.

LCM(35260,35279) = 1243937540

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Least Common Multiple of 35260 and 35279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35260 and 35279, than apply into the LCM equation.

GCF(35260,35279) = 1
LCM(35260,35279) = ( 35260 × 35279) / 1
LCM(35260,35279) = 1243937540 / 1
LCM(35260,35279) = 1243937540

Least Common Multiple (LCM) of 35260 and 35279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35260 and 35279. First we will calculate the prime factors of 35260 and 35279.

Prime Factorization of 35260

Prime factors of 35260 are 2, 5, 41, 43. Prime factorization of 35260 in exponential form is:

35260 = 22 × 51 × 411 × 431

Prime Factorization of 35279

Prime factors of 35279 are 35279. Prime factorization of 35279 in exponential form is:

35279 = 352791

Now multiplying the highest exponent prime factors to calculate the LCM of 35260 and 35279.

LCM(35260,35279) = 22 × 51 × 411 × 431 × 352791
LCM(35260,35279) = 1243937540