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What is the Least Common Multiple of 16985 and 16991?

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 16985 and 16991 is 288592135.

LCM(16985,16991) = 288592135

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Least Common Multiple of 16985 and 16991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16985 and 16991, than apply into the LCM equation.

GCF(16985,16991) = 1
LCM(16985,16991) = ( 16985 × 16991) / 1
LCM(16985,16991) = 288592135 / 1
LCM(16985,16991) = 288592135

Least Common Multiple (LCM) of 16985 and 16991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16985 and 16991. First we will calculate the prime factors of 16985 and 16991.

Prime Factorization of 16985

Prime factors of 16985 are 5, 43, 79. Prime factorization of 16985 in exponential form is:

16985 = 51 × 431 × 791

Prime Factorization of 16991

Prime factors of 16991 are 13, 1307. Prime factorization of 16991 in exponential form is:

16991 = 131 × 13071

Now multiplying the highest exponent prime factors to calculate the LCM of 16985 and 16991.

LCM(16985,16991) = 51 × 431 × 791 × 131 × 13071
LCM(16985,16991) = 288592135