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What is the Least Common Multiple of 18458 and 18469?

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 18458 and 18469 is 30990982.

LCM(18458,18469) = 30990982

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Least Common Multiple of 18458 and 18469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18458 and 18469, than apply into the LCM equation.

GCF(18458,18469) = 11
LCM(18458,18469) = ( 18458 × 18469) / 11
LCM(18458,18469) = 340900802 / 11
LCM(18458,18469) = 30990982

Least Common Multiple (LCM) of 18458 and 18469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18458 and 18469. First we will calculate the prime factors of 18458 and 18469.

Prime Factorization of 18458

Prime factors of 18458 are 2, 11, 839. Prime factorization of 18458 in exponential form is:

18458 = 21 × 111 × 8391

Prime Factorization of 18469

Prime factors of 18469 are 11, 23, 73. Prime factorization of 18469 in exponential form is:

18469 = 111 × 231 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 18458 and 18469.

LCM(18458,18469) = 21 × 111 × 8391 × 231 × 731
LCM(18458,18469) = 30990982