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What is the Least Common Multiple of 41518 and 41526?

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 41518 and 41526 is 862038234.

LCM(41518,41526) = 862038234

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Least Common Multiple of 41518 and 41526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41518 and 41526, than apply into the LCM equation.

GCF(41518,41526) = 2
LCM(41518,41526) = ( 41518 × 41526) / 2
LCM(41518,41526) = 1724076468 / 2
LCM(41518,41526) = 862038234

Least Common Multiple (LCM) of 41518 and 41526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41518 and 41526. First we will calculate the prime factors of 41518 and 41526.

Prime Factorization of 41518

Prime factors of 41518 are 2, 20759. Prime factorization of 41518 in exponential form is:

41518 = 21 × 207591

Prime Factorization of 41526

Prime factors of 41526 are 2, 3, 769. Prime factorization of 41526 in exponential form is:

41526 = 21 × 33 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 41518 and 41526.

LCM(41518,41526) = 21 × 207591 × 33 × 7691
LCM(41518,41526) = 862038234