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What is the Least Common Multiple of 16167 and 16179?

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 16167 and 16179 is 87188631.

LCM(16167,16179) = 87188631

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Least Common Multiple of 16167 and 16179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16167 and 16179, than apply into the LCM equation.

GCF(16167,16179) = 3
LCM(16167,16179) = ( 16167 × 16179) / 3
LCM(16167,16179) = 261565893 / 3
LCM(16167,16179) = 87188631

Least Common Multiple (LCM) of 16167 and 16179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16167 and 16179. First we will calculate the prime factors of 16167 and 16179.

Prime Factorization of 16167

Prime factors of 16167 are 3, 17, 317. Prime factorization of 16167 in exponential form is:

16167 = 31 × 171 × 3171

Prime Factorization of 16179

Prime factors of 16179 are 3, 5393. Prime factorization of 16179 in exponential form is:

16179 = 31 × 53931

Now multiplying the highest exponent prime factors to calculate the LCM of 16167 and 16179.

LCM(16167,16179) = 31 × 171 × 3171 × 53931
LCM(16167,16179) = 87188631