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What is the Least Common Multiple of 41266 and 41281?

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 41266 and 41281 is 1703501746.

LCM(41266,41281) = 1703501746

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Least Common Multiple of 41266 and 41281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41266 and 41281, than apply into the LCM equation.

GCF(41266,41281) = 1
LCM(41266,41281) = ( 41266 × 41281) / 1
LCM(41266,41281) = 1703501746 / 1
LCM(41266,41281) = 1703501746

Least Common Multiple (LCM) of 41266 and 41281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41266 and 41281. First we will calculate the prime factors of 41266 and 41281.

Prime Factorization of 41266

Prime factors of 41266 are 2, 47, 439. Prime factorization of 41266 in exponential form is:

41266 = 21 × 471 × 4391

Prime Factorization of 41281

Prime factors of 41281 are 41281. Prime factorization of 41281 in exponential form is:

41281 = 412811

Now multiplying the highest exponent prime factors to calculate the LCM of 41266 and 41281.

LCM(41266,41281) = 21 × 471 × 4391 × 412811
LCM(41266,41281) = 1703501746