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What is the Least Common Multiple of 22789 and 22806?

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 22789 and 22806 is 519725934.

LCM(22789,22806) = 519725934

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Least Common Multiple of 22789 and 22806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22789 and 22806, than apply into the LCM equation.

GCF(22789,22806) = 1
LCM(22789,22806) = ( 22789 × 22806) / 1
LCM(22789,22806) = 519725934 / 1
LCM(22789,22806) = 519725934

Least Common Multiple (LCM) of 22789 and 22806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22789 and 22806. First we will calculate the prime factors of 22789 and 22806.

Prime Factorization of 22789

Prime factors of 22789 are 13, 1753. Prime factorization of 22789 in exponential form is:

22789 = 131 × 17531

Prime Factorization of 22806

Prime factors of 22806 are 2, 3, 7, 181. Prime factorization of 22806 in exponential form is:

22806 = 21 × 32 × 71 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 22789 and 22806.

LCM(22789,22806) = 131 × 17531 × 21 × 32 × 71 × 1811
LCM(22789,22806) = 519725934