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What is the Least Common Multiple of 16429 and 16443?

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 16429 and 16443 is 38591721.

LCM(16429,16443) = 38591721

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Least Common Multiple of 16429 and 16443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16429 and 16443, than apply into the LCM equation.

GCF(16429,16443) = 7
LCM(16429,16443) = ( 16429 × 16443) / 7
LCM(16429,16443) = 270142047 / 7
LCM(16429,16443) = 38591721

Least Common Multiple (LCM) of 16429 and 16443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16429 and 16443. First we will calculate the prime factors of 16429 and 16443.

Prime Factorization of 16429

Prime factors of 16429 are 7, 2347. Prime factorization of 16429 in exponential form is:

16429 = 71 × 23471

Prime Factorization of 16443

Prime factors of 16443 are 3, 7, 29. Prime factorization of 16443 in exponential form is:

16443 = 34 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 16429 and 16443.

LCM(16429,16443) = 71 × 23471 × 34 × 291
LCM(16429,16443) = 38591721