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What is the Least Common Multiple of 16669 and 16676?

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 16669 and 16676 is 277972244.

LCM(16669,16676) = 277972244

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Least Common Multiple of 16669 and 16676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16669 and 16676, than apply into the LCM equation.

GCF(16669,16676) = 1
LCM(16669,16676) = ( 16669 × 16676) / 1
LCM(16669,16676) = 277972244 / 1
LCM(16669,16676) = 277972244

Least Common Multiple (LCM) of 16669 and 16676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16669 and 16676. First we will calculate the prime factors of 16669 and 16676.

Prime Factorization of 16669

Prime factors of 16669 are 79, 211. Prime factorization of 16669 in exponential form is:

16669 = 791 × 2111

Prime Factorization of 16676

Prime factors of 16676 are 2, 11, 379. Prime factorization of 16676 in exponential form is:

16676 = 22 × 111 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 16669 and 16676.

LCM(16669,16676) = 791 × 2111 × 22 × 111 × 3791
LCM(16669,16676) = 277972244