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What is the Least Common Multiple of 8982 and 8992?

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 8982 and 8992 is 40383072.

LCM(8982,8992) = 40383072

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Least Common Multiple of 8982 and 8992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8982 and 8992, than apply into the LCM equation.

GCF(8982,8992) = 2
LCM(8982,8992) = ( 8982 × 8992) / 2
LCM(8982,8992) = 80766144 / 2
LCM(8982,8992) = 40383072

Least Common Multiple (LCM) of 8982 and 8992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8982 and 8992. First we will calculate the prime factors of 8982 and 8992.

Prime Factorization of 8982

Prime factors of 8982 are 2, 3, 499. Prime factorization of 8982 in exponential form is:

8982 = 21 × 32 × 4991

Prime Factorization of 8992

Prime factors of 8992 are 2, 281. Prime factorization of 8992 in exponential form is:

8992 = 25 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 8982 and 8992.

LCM(8982,8992) = 25 × 32 × 4991 × 2811
LCM(8982,8992) = 40383072