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What is the Least Common Multiple of 41243 and 41260?

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 41243 and 41260 is 1701686180.

LCM(41243,41260) = 1701686180

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Least Common Multiple of 41243 and 41260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41243 and 41260, than apply into the LCM equation.

GCF(41243,41260) = 1
LCM(41243,41260) = ( 41243 × 41260) / 1
LCM(41243,41260) = 1701686180 / 1
LCM(41243,41260) = 1701686180

Least Common Multiple (LCM) of 41243 and 41260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41243 and 41260. First we will calculate the prime factors of 41243 and 41260.

Prime Factorization of 41243

Prime factors of 41243 are 41243. Prime factorization of 41243 in exponential form is:

41243 = 412431

Prime Factorization of 41260

Prime factors of 41260 are 2, 5, 2063. Prime factorization of 41260 in exponential form is:

41260 = 22 × 51 × 20631

Now multiplying the highest exponent prime factors to calculate the LCM of 41243 and 41260.

LCM(41243,41260) = 412431 × 22 × 51 × 20631
LCM(41243,41260) = 1701686180