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What is the Least Common Multiple of 41243 and 41263?

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 41263 is 1701809909.

LCM(41243,41263) = 1701809909

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Least Common Multiple of 41243 and 41263 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 41263, than apply into the LCM equation.

GCF(41243,41263) = 1
LCM(41243,41263) = ( 41243 × 41263) / 1
LCM(41243,41263) = 1701809909 / 1
LCM(41243,41263) = 1701809909

Least Common Multiple (LCM) of 41243 and 41263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41243 and 41263. First we will calculate the prime factors of 41243 and 41263.

Prime Factorization of 41243

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

41243 = 412431

Prime Factorization of 41263

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

41263 = 412631

Now multiplying the highest exponent prime factors to calculate the LCM of 41243 and 41263.

LCM(41243,41263) = 412431 × 412631
LCM(41243,41263) = 1701809909