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What is the Least Common Multiple of 16929 and 16947?

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 16929 and 16947 is 31877307.

LCM(16929,16947) = 31877307

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Least Common Multiple of 16929 and 16947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16929 and 16947, than apply into the LCM equation.

GCF(16929,16947) = 9
LCM(16929,16947) = ( 16929 × 16947) / 9
LCM(16929,16947) = 286895763 / 9
LCM(16929,16947) = 31877307

Least Common Multiple (LCM) of 16929 and 16947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16929 and 16947. First we will calculate the prime factors of 16929 and 16947.

Prime Factorization of 16929

Prime factors of 16929 are 3, 11, 19. Prime factorization of 16929 in exponential form is:

16929 = 34 × 111 × 191

Prime Factorization of 16947

Prime factors of 16947 are 3, 7, 269. Prime factorization of 16947 in exponential form is:

16947 = 32 × 71 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 16929 and 16947.

LCM(16929,16947) = 34 × 111 × 191 × 71 × 2691
LCM(16929,16947) = 31877307