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What is the Least Common Multiple of 18974 and 18982?

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 18974 and 18982 is 180082234.

LCM(18974,18982) = 180082234

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Least Common Multiple of 18974 and 18982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18974 and 18982, than apply into the LCM equation.

GCF(18974,18982) = 2
LCM(18974,18982) = ( 18974 × 18982) / 2
LCM(18974,18982) = 360164468 / 2
LCM(18974,18982) = 180082234

Least Common Multiple (LCM) of 18974 and 18982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18974 and 18982. First we will calculate the prime factors of 18974 and 18982.

Prime Factorization of 18974

Prime factors of 18974 are 2, 53, 179. Prime factorization of 18974 in exponential form is:

18974 = 21 × 531 × 1791

Prime Factorization of 18982

Prime factors of 18982 are 2, 9491. Prime factorization of 18982 in exponential form is:

18982 = 21 × 94911

Now multiplying the highest exponent prime factors to calculate the LCM of 18974 and 18982.

LCM(18974,18982) = 21 × 531 × 1791 × 94911
LCM(18974,18982) = 180082234