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What is the Least Common Multiple of 76711 and 76726?

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 76711 and 76726 is 5885728186.

LCM(76711,76726) = 5885728186

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Least Common Multiple of 76711 and 76726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76711 and 76726, than apply into the LCM equation.

GCF(76711,76726) = 1
LCM(76711,76726) = ( 76711 × 76726) / 1
LCM(76711,76726) = 5885728186 / 1
LCM(76711,76726) = 5885728186

Least Common Multiple (LCM) of 76711 and 76726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76711 and 76726. First we will calculate the prime factors of 76711 and 76726.

Prime Factorization of 76711

Prime factors of 76711 are 41, 1871. Prime factorization of 76711 in exponential form is:

76711 = 411 × 18711

Prime Factorization of 76726

Prime factors of 76726 are 2, 13, 227. Prime factorization of 76726 in exponential form is:

76726 = 21 × 132 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 76711 and 76726.

LCM(76711,76726) = 411 × 18711 × 21 × 132 × 2271
LCM(76711,76726) = 5885728186