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What is the Least Common Multiple of 41271 and 41282?

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 41271 and 41282 is 1703749422.

LCM(41271,41282) = 1703749422

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Least Common Multiple of 41271 and 41282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41271 and 41282, than apply into the LCM equation.

GCF(41271,41282) = 1
LCM(41271,41282) = ( 41271 × 41282) / 1
LCM(41271,41282) = 1703749422 / 1
LCM(41271,41282) = 1703749422

Least Common Multiple (LCM) of 41271 and 41282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41271 and 41282. First we will calculate the prime factors of 41271 and 41282.

Prime Factorization of 41271

Prime factors of 41271 are 3, 13757. Prime factorization of 41271 in exponential form is:

41271 = 31 × 137571

Prime Factorization of 41282

Prime factors of 41282 are 2, 20641. Prime factorization of 41282 in exponential form is:

41282 = 21 × 206411

Now multiplying the highest exponent prime factors to calculate the LCM of 41271 and 41282.

LCM(41271,41282) = 31 × 137571 × 21 × 206411
LCM(41271,41282) = 1703749422