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What is the Least Common Multiple of 16912 and 16920?

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 16912 and 16920 is 35768880.

LCM(16912,16920) = 35768880

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Least Common Multiple of 16912 and 16920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16912 and 16920, than apply into the LCM equation.

GCF(16912,16920) = 8
LCM(16912,16920) = ( 16912 × 16920) / 8
LCM(16912,16920) = 286151040 / 8
LCM(16912,16920) = 35768880

Least Common Multiple (LCM) of 16912 and 16920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16912 and 16920. First we will calculate the prime factors of 16912 and 16920.

Prime Factorization of 16912

Prime factors of 16912 are 2, 7, 151. Prime factorization of 16912 in exponential form is:

16912 = 24 × 71 × 1511

Prime Factorization of 16920

Prime factors of 16920 are 2, 3, 5, 47. Prime factorization of 16920 in exponential form is:

16920 = 23 × 32 × 51 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 16912 and 16920.

LCM(16912,16920) = 24 × 71 × 1511 × 32 × 51 × 471
LCM(16912,16920) = 35768880