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What is the Least Common Multiple of 16342 and 16351?

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 16342 and 16351 is 267208042.

LCM(16342,16351) = 267208042

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Least Common Multiple of 16342 and 16351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16342 and 16351, than apply into the LCM equation.

GCF(16342,16351) = 1
LCM(16342,16351) = ( 16342 × 16351) / 1
LCM(16342,16351) = 267208042 / 1
LCM(16342,16351) = 267208042

Least Common Multiple (LCM) of 16342 and 16351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16342 and 16351. First we will calculate the prime factors of 16342 and 16351.

Prime Factorization of 16342

Prime factors of 16342 are 2, 8171. Prime factorization of 16342 in exponential form is:

16342 = 21 × 81711

Prime Factorization of 16351

Prime factors of 16351 are 83, 197. Prime factorization of 16351 in exponential form is:

16351 = 831 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 16342 and 16351.

LCM(16342,16351) = 21 × 81711 × 831 × 1971
LCM(16342,16351) = 267208042