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What is the Least Common Multiple of 16149 and 16161?

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 16149 and 16161 is 86994663.

LCM(16149,16161) = 86994663

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Least Common Multiple of 16149 and 16161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16149 and 16161, than apply into the LCM equation.

GCF(16149,16161) = 3
LCM(16149,16161) = ( 16149 × 16161) / 3
LCM(16149,16161) = 260983989 / 3
LCM(16149,16161) = 86994663

Least Common Multiple (LCM) of 16149 and 16161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16149 and 16161. First we will calculate the prime factors of 16149 and 16161.

Prime Factorization of 16149

Prime factors of 16149 are 3, 7, 769. Prime factorization of 16149 in exponential form is:

16149 = 31 × 71 × 7691

Prime Factorization of 16161

Prime factors of 16161 are 3, 5387. Prime factorization of 16161 in exponential form is:

16161 = 31 × 53871

Now multiplying the highest exponent prime factors to calculate the LCM of 16149 and 16161.

LCM(16149,16161) = 31 × 71 × 7691 × 53871
LCM(16149,16161) = 86994663