GCF and LCM Calculator Logo

What is the Least Common Multiple of 16667 and 16680?

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 16667 and 16680 is 278005560.

LCM(16667,16680) = 278005560

LCM Calculator and
and

Least Common Multiple of 16667 and 16680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16667 and 16680, than apply into the LCM equation.

GCF(16667,16680) = 1
LCM(16667,16680) = ( 16667 × 16680) / 1
LCM(16667,16680) = 278005560 / 1
LCM(16667,16680) = 278005560

Least Common Multiple (LCM) of 16667 and 16680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16667 and 16680. First we will calculate the prime factors of 16667 and 16680.

Prime Factorization of 16667

Prime factors of 16667 are 7, 2381. Prime factorization of 16667 in exponential form is:

16667 = 71 × 23811

Prime Factorization of 16680

Prime factors of 16680 are 2, 3, 5, 139. Prime factorization of 16680 in exponential form is:

16680 = 23 × 31 × 51 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 16667 and 16680.

LCM(16667,16680) = 71 × 23811 × 23 × 31 × 51 × 1391
LCM(16667,16680) = 278005560