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What is the Least Common Multiple of 18252 and 18259?

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 18259 is 333263268.

LCM(18252,18259) = 333263268

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Least Common Multiple of 18252 and 18259 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 18259, than apply into the LCM equation.

GCF(18252,18259) = 1
LCM(18252,18259) = ( 18252 × 18259) / 1
LCM(18252,18259) = 333263268 / 1
LCM(18252,18259) = 333263268

Least Common Multiple (LCM) of 18252 and 18259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18252 and 18259. First we will calculate the prime factors of 18252 and 18259.

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 18259

Prime factors of 18259 are 19, 31. Prime factorization of 18259 in exponential form is:

18259 = 191 × 312

Now multiplying the highest exponent prime factors to calculate the LCM of 18252 and 18259.

LCM(18252,18259) = 22 × 33 × 132 × 191 × 312
LCM(18252,18259) = 333263268