GCF and LCM Calculator Logo

What is the Least Common Multiple of 16726 and 16739?

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 16726 and 16739 is 279976514.

LCM(16726,16739) = 279976514

LCM Calculator and
and

Least Common Multiple of 16726 and 16739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16726 and 16739, than apply into the LCM equation.

GCF(16726,16739) = 1
LCM(16726,16739) = ( 16726 × 16739) / 1
LCM(16726,16739) = 279976514 / 1
LCM(16726,16739) = 279976514

Least Common Multiple (LCM) of 16726 and 16739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16726 and 16739. First we will calculate the prime factors of 16726 and 16739.

Prime Factorization of 16726

Prime factors of 16726 are 2, 8363. Prime factorization of 16726 in exponential form is:

16726 = 21 × 83631

Prime Factorization of 16739

Prime factors of 16739 are 19, 881. Prime factorization of 16739 in exponential form is:

16739 = 191 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 16726 and 16739.

LCM(16726,16739) = 21 × 83631 × 191 × 8811
LCM(16726,16739) = 279976514