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What is the Least Common Multiple of 43558 and 43563?

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 43558 and 43563 is 1897517154.

LCM(43558,43563) = 1897517154

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Least Common Multiple of 43558 and 43563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43558 and 43563, than apply into the LCM equation.

GCF(43558,43563) = 1
LCM(43558,43563) = ( 43558 × 43563) / 1
LCM(43558,43563) = 1897517154 / 1
LCM(43558,43563) = 1897517154

Least Common Multiple (LCM) of 43558 and 43563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43558 and 43563. First we will calculate the prime factors of 43558 and 43563.

Prime Factorization of 43558

Prime factors of 43558 are 2, 29, 751. Prime factorization of 43558 in exponential form is:

43558 = 21 × 291 × 7511

Prime Factorization of 43563

Prime factors of 43563 are 3, 13, 1117. Prime factorization of 43563 in exponential form is:

43563 = 31 × 131 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 43558 and 43563.

LCM(43558,43563) = 21 × 291 × 7511 × 31 × 131 × 11171
LCM(43558,43563) = 1897517154