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What is the Least Common Multiple of 16770 and 16779?

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 16770 and 16779 is 93794610.

LCM(16770,16779) = 93794610

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Least Common Multiple of 16770 and 16779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16770 and 16779, than apply into the LCM equation.

GCF(16770,16779) = 3
LCM(16770,16779) = ( 16770 × 16779) / 3
LCM(16770,16779) = 281383830 / 3
LCM(16770,16779) = 93794610

Least Common Multiple (LCM) of 16770 and 16779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16770 and 16779. First we will calculate the prime factors of 16770 and 16779.

Prime Factorization of 16770

Prime factors of 16770 are 2, 3, 5, 13, 43. Prime factorization of 16770 in exponential form is:

16770 = 21 × 31 × 51 × 131 × 431

Prime Factorization of 16779

Prime factors of 16779 are 3, 7, 17, 47. Prime factorization of 16779 in exponential form is:

16779 = 31 × 71 × 171 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 16770 and 16779.

LCM(16770,16779) = 21 × 31 × 51 × 131 × 431 × 71 × 171 × 471
LCM(16770,16779) = 93794610