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What is the Least Common Multiple of 43573 and 43583?

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 43573 and 43583 is 1899042059.

LCM(43573,43583) = 1899042059

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Least Common Multiple of 43573 and 43583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43573 and 43583, than apply into the LCM equation.

GCF(43573,43583) = 1
LCM(43573,43583) = ( 43573 × 43583) / 1
LCM(43573,43583) = 1899042059 / 1
LCM(43573,43583) = 1899042059

Least Common Multiple (LCM) of 43573 and 43583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43573 and 43583. First we will calculate the prime factors of 43573 and 43583.

Prime Factorization of 43573

Prime factors of 43573 are 43573. Prime factorization of 43573 in exponential form is:

43573 = 435731

Prime Factorization of 43583

Prime factors of 43583 are 41, 1063. Prime factorization of 43583 in exponential form is:

43583 = 411 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 43573 and 43583.

LCM(43573,43583) = 435731 × 411 × 10631
LCM(43573,43583) = 1899042059