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What is the Least Common Multiple of 16328 and 16346?

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 16328 and 16346 is 133448744.

LCM(16328,16346) = 133448744

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Least Common Multiple of 16328 and 16346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16328 and 16346, than apply into the LCM equation.

GCF(16328,16346) = 2
LCM(16328,16346) = ( 16328 × 16346) / 2
LCM(16328,16346) = 266897488 / 2
LCM(16328,16346) = 133448744

Least Common Multiple (LCM) of 16328 and 16346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16328 and 16346. First we will calculate the prime factors of 16328 and 16346.

Prime Factorization of 16328

Prime factors of 16328 are 2, 13, 157. Prime factorization of 16328 in exponential form is:

16328 = 23 × 131 × 1571

Prime Factorization of 16346

Prime factors of 16346 are 2, 11, 743. Prime factorization of 16346 in exponential form is:

16346 = 21 × 111 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 16328 and 16346.

LCM(16328,16346) = 23 × 131 × 1571 × 111 × 7431
LCM(16328,16346) = 133448744