GCF and LCM Calculator Logo

What is the Least Common Multiple of 16782 and 16791?

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 16782 and 16791 is 93928854.

LCM(16782,16791) = 93928854

LCM Calculator and
and

Least Common Multiple of 16782 and 16791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16782 and 16791, than apply into the LCM equation.

GCF(16782,16791) = 3
LCM(16782,16791) = ( 16782 × 16791) / 3
LCM(16782,16791) = 281786562 / 3
LCM(16782,16791) = 93928854

Least Common Multiple (LCM) of 16782 and 16791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16782 and 16791. First we will calculate the prime factors of 16782 and 16791.

Prime Factorization of 16782

Prime factors of 16782 are 2, 3, 2797. Prime factorization of 16782 in exponential form is:

16782 = 21 × 31 × 27971

Prime Factorization of 16791

Prime factors of 16791 are 3, 29, 193. Prime factorization of 16791 in exponential form is:

16791 = 31 × 291 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 16782 and 16791.

LCM(16782,16791) = 21 × 31 × 27971 × 291 × 1931
LCM(16782,16791) = 93928854