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What is the Least Common Multiple of 41307 and 41326?

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 41307 and 41326 is 1707053082.

LCM(41307,41326) = 1707053082

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Least Common Multiple of 41307 and 41326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41307 and 41326, than apply into the LCM equation.

GCF(41307,41326) = 1
LCM(41307,41326) = ( 41307 × 41326) / 1
LCM(41307,41326) = 1707053082 / 1
LCM(41307,41326) = 1707053082

Least Common Multiple (LCM) of 41307 and 41326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41307 and 41326. First we will calculate the prime factors of 41307 and 41326.

Prime Factorization of 41307

Prime factors of 41307 are 3, 7, 281. Prime factorization of 41307 in exponential form is:

41307 = 31 × 72 × 2811

Prime Factorization of 41326

Prime factors of 41326 are 2, 20663. Prime factorization of 41326 in exponential form is:

41326 = 21 × 206631

Now multiplying the highest exponent prime factors to calculate the LCM of 41307 and 41326.

LCM(41307,41326) = 31 × 72 × 2811 × 21 × 206631
LCM(41307,41326) = 1707053082