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What is the Least Common Multiple of 16770 and 16775?

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 16775 is 56263350.

LCM(16770,16775) = 56263350

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Least Common Multiple of 16770 and 16775 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 16775, than apply into the LCM equation.

GCF(16770,16775) = 5
LCM(16770,16775) = ( 16770 × 16775) / 5
LCM(16770,16775) = 281316750 / 5
LCM(16770,16775) = 56263350

Least Common Multiple (LCM) of 16770 and 16775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16770 and 16775. First we will calculate the prime factors of 16770 and 16775.

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 16775

Prime factors of 16775 are 5, 11, 61. Prime factorization of 16775 in exponential form is:

16775 = 52 × 111 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 16770 and 16775.

LCM(16770,16775) = 21 × 31 × 52 × 131 × 431 × 111 × 611
LCM(16770,16775) = 56263350