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What is the Least Common Multiple of 22711 and 22726?

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 22711 and 22726 is 516130186.

LCM(22711,22726) = 516130186

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Least Common Multiple of 22711 and 22726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22711 and 22726, than apply into the LCM equation.

GCF(22711,22726) = 1
LCM(22711,22726) = ( 22711 × 22726) / 1
LCM(22711,22726) = 516130186 / 1
LCM(22711,22726) = 516130186

Least Common Multiple (LCM) of 22711 and 22726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22711 and 22726. First we will calculate the prime factors of 22711 and 22726.

Prime Factorization of 22711

Prime factors of 22711 are 13, 1747. Prime factorization of 22711 in exponential form is:

22711 = 131 × 17471

Prime Factorization of 22726

Prime factors of 22726 are 2, 11, 1033. Prime factorization of 22726 in exponential form is:

22726 = 21 × 111 × 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 22711 and 22726.

LCM(22711,22726) = 131 × 17471 × 21 × 111 × 10331
LCM(22711,22726) = 516130186