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What is the Least Common Multiple of 18252 and 18266?

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 18252 and 18266 is 166695516.

LCM(18252,18266) = 166695516

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Least Common Multiple of 18252 and 18266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18252 and 18266, than apply into the LCM equation.

GCF(18252,18266) = 2
LCM(18252,18266) = ( 18252 × 18266) / 2
LCM(18252,18266) = 333391032 / 2
LCM(18252,18266) = 166695516

Least Common Multiple (LCM) of 18252 and 18266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18252 and 18266. First we will calculate the prime factors of 18252 and 18266.

Prime Factorization of 18252

Prime factors of 18252 are 2, 3, 13. Prime factorization of 18252 in exponential form is:

18252 = 22 × 33 × 132

Prime Factorization of 18266

Prime factors of 18266 are 2, 9133. Prime factorization of 18266 in exponential form is:

18266 = 21 × 91331

Now multiplying the highest exponent prime factors to calculate the LCM of 18252 and 18266.

LCM(18252,18266) = 22 × 33 × 132 × 91331
LCM(18252,18266) = 166695516