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What is the Least Common Multiple of 41263 and 41273?

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 41263 and 41273 is 1703047799.

LCM(41263,41273) = 1703047799

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Least Common Multiple of 41263 and 41273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41263 and 41273, than apply into the LCM equation.

GCF(41263,41273) = 1
LCM(41263,41273) = ( 41263 × 41273) / 1
LCM(41263,41273) = 1703047799 / 1
LCM(41263,41273) = 1703047799

Least Common Multiple (LCM) of 41263 and 41273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41263 and 41273. First we will calculate the prime factors of 41263 and 41273.

Prime Factorization of 41263

Prime factors of 41263 are 41263. Prime factorization of 41263 in exponential form is:

41263 = 412631

Prime Factorization of 41273

Prime factors of 41273 are 149, 277. Prime factorization of 41273 in exponential form is:

41273 = 1491 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 41263 and 41273.

LCM(41263,41273) = 412631 × 1491 × 2771
LCM(41263,41273) = 1703047799