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What is the Least Common Multiple of 43711 and 43726?

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 43711 and 43726 is 1911307186.

LCM(43711,43726) = 1911307186

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Least Common Multiple of 43711 and 43726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43711 and 43726, than apply into the LCM equation.

GCF(43711,43726) = 1
LCM(43711,43726) = ( 43711 × 43726) / 1
LCM(43711,43726) = 1911307186 / 1
LCM(43711,43726) = 1911307186

Least Common Multiple (LCM) of 43711 and 43726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43711 and 43726. First we will calculate the prime factors of 43711 and 43726.

Prime Factorization of 43711

Prime factors of 43711 are 43711. Prime factorization of 43711 in exponential form is:

43711 = 437111

Prime Factorization of 43726

Prime factors of 43726 are 2, 21863. Prime factorization of 43726 in exponential form is:

43726 = 21 × 218631

Now multiplying the highest exponent prime factors to calculate the LCM of 43711 and 43726.

LCM(43711,43726) = 437111 × 21 × 218631
LCM(43711,43726) = 1911307186