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What is the Least Common Multiple of 18237 and 18249?

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 18237 and 18249 is 110935671.

LCM(18237,18249) = 110935671

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Least Common Multiple of 18237 and 18249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18237 and 18249, than apply into the LCM equation.

GCF(18237,18249) = 3
LCM(18237,18249) = ( 18237 × 18249) / 3
LCM(18237,18249) = 332807013 / 3
LCM(18237,18249) = 110935671

Least Common Multiple (LCM) of 18237 and 18249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18237 and 18249. First we will calculate the prime factors of 18237 and 18249.

Prime Factorization of 18237

Prime factors of 18237 are 3, 6079. Prime factorization of 18237 in exponential form is:

18237 = 31 × 60791

Prime Factorization of 18249

Prime factors of 18249 are 3, 7, 11, 79. Prime factorization of 18249 in exponential form is:

18249 = 31 × 71 × 111 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 18237 and 18249.

LCM(18237,18249) = 31 × 60791 × 71 × 111 × 791
LCM(18237,18249) = 110935671