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What is the Least Common Multiple of 56711 and 56716?

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 56711 and 56716 is 3216421076.

LCM(56711,56716) = 3216421076

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Least Common Multiple of 56711 and 56716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56711 and 56716, than apply into the LCM equation.

GCF(56711,56716) = 1
LCM(56711,56716) = ( 56711 × 56716) / 1
LCM(56711,56716) = 3216421076 / 1
LCM(56711,56716) = 3216421076

Least Common Multiple (LCM) of 56711 and 56716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56711 and 56716. First we will calculate the prime factors of 56711 and 56716.

Prime Factorization of 56711

Prime factors of 56711 are 56711. Prime factorization of 56711 in exponential form is:

56711 = 567111

Prime Factorization of 56716

Prime factors of 56716 are 2, 11, 1289. Prime factorization of 56716 in exponential form is:

56716 = 22 × 111 × 12891

Now multiplying the highest exponent prime factors to calculate the LCM of 56711 and 56716.

LCM(56711,56716) = 567111 × 22 × 111 × 12891
LCM(56711,56716) = 3216421076