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What is the Least Common Multiple of 41647 and 41658?

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 41647 and 41658 is 1734930726.

LCM(41647,41658) = 1734930726

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Least Common Multiple of 41647 and 41658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41647 and 41658, than apply into the LCM equation.

GCF(41647,41658) = 1
LCM(41647,41658) = ( 41647 × 41658) / 1
LCM(41647,41658) = 1734930726 / 1
LCM(41647,41658) = 1734930726

Least Common Multiple (LCM) of 41647 and 41658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41647 and 41658. First we will calculate the prime factors of 41647 and 41658.

Prime Factorization of 41647

Prime factors of 41647 are 41647. Prime factorization of 41647 in exponential form is:

41647 = 416471

Prime Factorization of 41658

Prime factors of 41658 are 2, 3, 53, 131. Prime factorization of 41658 in exponential form is:

41658 = 21 × 31 × 531 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 41647 and 41658.

LCM(41647,41658) = 416471 × 21 × 31 × 531 × 1311
LCM(41647,41658) = 1734930726