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What is the Least Common Multiple of 16367 and 16371?

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 16367 and 16371 is 267944157.

LCM(16367,16371) = 267944157

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Least Common Multiple of 16367 and 16371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16367 and 16371, than apply into the LCM equation.

GCF(16367,16371) = 1
LCM(16367,16371) = ( 16367 × 16371) / 1
LCM(16367,16371) = 267944157 / 1
LCM(16367,16371) = 267944157

Least Common Multiple (LCM) of 16367 and 16371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16367 and 16371. First we will calculate the prime factors of 16367 and 16371.

Prime Factorization of 16367

Prime factors of 16367 are 13, 1259. Prime factorization of 16367 in exponential form is:

16367 = 131 × 12591

Prime Factorization of 16371

Prime factors of 16371 are 3, 17, 107. Prime factorization of 16371 in exponential form is:

16371 = 32 × 171 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 16367 and 16371.

LCM(16367,16371) = 131 × 12591 × 32 × 171 × 1071
LCM(16367,16371) = 267944157