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What is the Least Common Multiple of 35541 and 35547?

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 35541 and 35547 is 421125309.

LCM(35541,35547) = 421125309

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Least Common Multiple of 35541 and 35547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35541 and 35547, than apply into the LCM equation.

GCF(35541,35547) = 3
LCM(35541,35547) = ( 35541 × 35547) / 3
LCM(35541,35547) = 1263375927 / 3
LCM(35541,35547) = 421125309

Least Common Multiple (LCM) of 35541 and 35547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35541 and 35547. First we will calculate the prime factors of 35541 and 35547.

Prime Factorization of 35541

Prime factors of 35541 are 3, 11, 359. Prime factorization of 35541 in exponential form is:

35541 = 32 × 111 × 3591

Prime Factorization of 35547

Prime factors of 35547 are 3, 17, 41. Prime factorization of 35547 in exponential form is:

35547 = 31 × 172 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 35541 and 35547.

LCM(35541,35547) = 32 × 111 × 3591 × 172 × 411
LCM(35541,35547) = 421125309