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What is the Least Common Multiple of 18449 and 18457?

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 18449 and 18457 is 340513193.

LCM(18449,18457) = 340513193

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Least Common Multiple of 18449 and 18457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18449 and 18457, than apply into the LCM equation.

GCF(18449,18457) = 1
LCM(18449,18457) = ( 18449 × 18457) / 1
LCM(18449,18457) = 340513193 / 1
LCM(18449,18457) = 340513193

Least Common Multiple (LCM) of 18449 and 18457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18449 and 18457. First we will calculate the prime factors of 18449 and 18457.

Prime Factorization of 18449

Prime factors of 18449 are 19, 971. Prime factorization of 18449 in exponential form is:

18449 = 191 × 9711

Prime Factorization of 18457

Prime factors of 18457 are 18457. Prime factorization of 18457 in exponential form is:

18457 = 184571

Now multiplying the highest exponent prime factors to calculate the LCM of 18449 and 18457.

LCM(18449,18457) = 191 × 9711 × 184571
LCM(18449,18457) = 340513193