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What is the Least Common Multiple of 18297 and 18302?

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 18297 and 18302 is 334871694.

LCM(18297,18302) = 334871694

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Least Common Multiple of 18297 and 18302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18297 and 18302, than apply into the LCM equation.

GCF(18297,18302) = 1
LCM(18297,18302) = ( 18297 × 18302) / 1
LCM(18297,18302) = 334871694 / 1
LCM(18297,18302) = 334871694

Least Common Multiple (LCM) of 18297 and 18302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18297 and 18302. First we will calculate the prime factors of 18297 and 18302.

Prime Factorization of 18297

Prime factors of 18297 are 3, 19, 107. Prime factorization of 18297 in exponential form is:

18297 = 32 × 191 × 1071

Prime Factorization of 18302

Prime factors of 18302 are 2, 9151. Prime factorization of 18302 in exponential form is:

18302 = 21 × 91511

Now multiplying the highest exponent prime factors to calculate the LCM of 18297 and 18302.

LCM(18297,18302) = 32 × 191 × 1071 × 21 × 91511
LCM(18297,18302) = 334871694