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What is the Least Common Multiple of 16991 and 16995?

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 16991 and 16995 is 288762045.

LCM(16991,16995) = 288762045

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Least Common Multiple of 16991 and 16995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16991 and 16995, than apply into the LCM equation.

GCF(16991,16995) = 1
LCM(16991,16995) = ( 16991 × 16995) / 1
LCM(16991,16995) = 288762045 / 1
LCM(16991,16995) = 288762045

Least Common Multiple (LCM) of 16991 and 16995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16991 and 16995. First we will calculate the prime factors of 16991 and 16995.

Prime Factorization of 16991

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

16991 = 131 × 13071

Prime Factorization of 16995

Prime factors of 16995 are 3, 5, 11, 103. Prime factorization of 16995 in exponential form is:

16995 = 31 × 51 × 111 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 16991 and 16995.

LCM(16991,16995) = 131 × 13071 × 31 × 51 × 111 × 1031
LCM(16991,16995) = 288762045