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What is the Least Common Multiple of 22266 and 22286?

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 22266 and 22286 is 248110038.

LCM(22266,22286) = 248110038

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Least Common Multiple of 22266 and 22286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22266 and 22286, than apply into the LCM equation.

GCF(22266,22286) = 2
LCM(22266,22286) = ( 22266 × 22286) / 2
LCM(22266,22286) = 496220076 / 2
LCM(22266,22286) = 248110038

Least Common Multiple (LCM) of 22266 and 22286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22266 and 22286. First we will calculate the prime factors of 22266 and 22286.

Prime Factorization of 22266

Prime factors of 22266 are 2, 3, 1237. Prime factorization of 22266 in exponential form is:

22266 = 21 × 32 × 12371

Prime Factorization of 22286

Prime factors of 22286 are 2, 11, 1013. Prime factorization of 22286 in exponential form is:

22286 = 21 × 111 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 22266 and 22286.

LCM(22266,22286) = 21 × 32 × 12371 × 111 × 10131
LCM(22266,22286) = 248110038