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What is the Least Common Multiple of 18193 and 18208?

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 18193 and 18208 is 331258144.

LCM(18193,18208) = 331258144

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Least Common Multiple of 18193 and 18208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18193 and 18208, than apply into the LCM equation.

GCF(18193,18208) = 1
LCM(18193,18208) = ( 18193 × 18208) / 1
LCM(18193,18208) = 331258144 / 1
LCM(18193,18208) = 331258144

Least Common Multiple (LCM) of 18193 and 18208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18193 and 18208. First we will calculate the prime factors of 18193 and 18208.

Prime Factorization of 18193

Prime factors of 18193 are 7, 23, 113. Prime factorization of 18193 in exponential form is:

18193 = 71 × 231 × 1131

Prime Factorization of 18208

Prime factors of 18208 are 2, 569. Prime factorization of 18208 in exponential form is:

18208 = 25 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 18193 and 18208.

LCM(18193,18208) = 71 × 231 × 1131 × 25 × 5691
LCM(18193,18208) = 331258144