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What is the Least Common Multiple of 41435 and 41452?

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 41435 and 41452 is 1717563620.

LCM(41435,41452) = 1717563620

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Least Common Multiple of 41435 and 41452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41435 and 41452, than apply into the LCM equation.

GCF(41435,41452) = 1
LCM(41435,41452) = ( 41435 × 41452) / 1
LCM(41435,41452) = 1717563620 / 1
LCM(41435,41452) = 1717563620

Least Common Multiple (LCM) of 41435 and 41452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41435 and 41452. First we will calculate the prime factors of 41435 and 41452.

Prime Factorization of 41435

Prime factors of 41435 are 5, 8287. Prime factorization of 41435 in exponential form is:

41435 = 51 × 82871

Prime Factorization of 41452

Prime factors of 41452 are 2, 43, 241. Prime factorization of 41452 in exponential form is:

41452 = 22 × 431 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 41435 and 41452.

LCM(41435,41452) = 51 × 82871 × 22 × 431 × 2411
LCM(41435,41452) = 1717563620