GCF and LCM Calculator Logo

What is the Least Common Multiple of 16775 and 16790?

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 16775 and 16790 is 56330450.

LCM(16775,16790) = 56330450

LCM Calculator and
and

Least Common Multiple of 16775 and 16790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16775 and 16790, than apply into the LCM equation.

GCF(16775,16790) = 5
LCM(16775,16790) = ( 16775 × 16790) / 5
LCM(16775,16790) = 281652250 / 5
LCM(16775,16790) = 56330450

Least Common Multiple (LCM) of 16775 and 16790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16775 and 16790. First we will calculate the prime factors of 16775 and 16790.

Prime Factorization of 16775

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

16775 = 52 × 111 × 611

Prime Factorization of 16790

Prime factors of 16790 are 2, 5, 23, 73. Prime factorization of 16790 in exponential form is:

16790 = 21 × 51 × 231 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 16775 and 16790.

LCM(16775,16790) = 52 × 111 × 611 × 21 × 231 × 731
LCM(16775,16790) = 56330450