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What is the Least Common Multiple of 18273 and 18292?

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 18273 and 18292 is 334249716.

LCM(18273,18292) = 334249716

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Least Common Multiple of 18273 and 18292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18273 and 18292, than apply into the LCM equation.

GCF(18273,18292) = 1
LCM(18273,18292) = ( 18273 × 18292) / 1
LCM(18273,18292) = 334249716 / 1
LCM(18273,18292) = 334249716

Least Common Multiple (LCM) of 18273 and 18292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18273 and 18292. First we will calculate the prime factors of 18273 and 18292.

Prime Factorization of 18273

Prime factors of 18273 are 3, 6091. Prime factorization of 18273 in exponential form is:

18273 = 31 × 60911

Prime Factorization of 18292

Prime factors of 18292 are 2, 17, 269. Prime factorization of 18292 in exponential form is:

18292 = 22 × 171 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 18273 and 18292.

LCM(18273,18292) = 31 × 60911 × 22 × 171 × 2691
LCM(18273,18292) = 334249716