GCF and LCM Calculator Logo

What is the Least Common Multiple of 16913 and 16931?

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 16913 and 16931 is 286354003.

LCM(16913,16931) = 286354003

LCM Calculator and
and

Least Common Multiple of 16913 and 16931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16913 and 16931, than apply into the LCM equation.

GCF(16913,16931) = 1
LCM(16913,16931) = ( 16913 × 16931) / 1
LCM(16913,16931) = 286354003 / 1
LCM(16913,16931) = 286354003

Least Common Multiple (LCM) of 16913 and 16931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16913 and 16931. First we will calculate the prime factors of 16913 and 16931.

Prime Factorization of 16913

Prime factors of 16913 are 13, 1301. Prime factorization of 16913 in exponential form is:

16913 = 131 × 13011

Prime Factorization of 16931

Prime factors of 16931 are 16931. Prime factorization of 16931 in exponential form is:

16931 = 169311

Now multiplying the highest exponent prime factors to calculate the LCM of 16913 and 16931.

LCM(16913,16931) = 131 × 13011 × 169311
LCM(16913,16931) = 286354003