GCF and LCM Calculator Logo

What is the Least Common Multiple of 16647 and 16665?

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 16647 and 16665 is 92474085.

LCM(16647,16665) = 92474085

LCM Calculator and
and

Least Common Multiple of 16647 and 16665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16647 and 16665, than apply into the LCM equation.

GCF(16647,16665) = 3
LCM(16647,16665) = ( 16647 × 16665) / 3
LCM(16647,16665) = 277422255 / 3
LCM(16647,16665) = 92474085

Least Common Multiple (LCM) of 16647 and 16665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16647 and 16665. First we will calculate the prime factors of 16647 and 16665.

Prime Factorization of 16647

Prime factors of 16647 are 3, 31, 179. Prime factorization of 16647 in exponential form is:

16647 = 31 × 311 × 1791

Prime Factorization of 16665

Prime factors of 16665 are 3, 5, 11, 101. Prime factorization of 16665 in exponential form is:

16665 = 31 × 51 × 111 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 16647 and 16665.

LCM(16647,16665) = 31 × 311 × 1791 × 51 × 111 × 1011
LCM(16647,16665) = 92474085