GCF and LCM Calculator Logo

What is the Least Common Multiple of 16703 and 16710?

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 16703 and 16710 is 279107130.

LCM(16703,16710) = 279107130

LCM Calculator and
and

Least Common Multiple of 16703 and 16710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16703 and 16710, than apply into the LCM equation.

GCF(16703,16710) = 1
LCM(16703,16710) = ( 16703 × 16710) / 1
LCM(16703,16710) = 279107130 / 1
LCM(16703,16710) = 279107130

Least Common Multiple (LCM) of 16703 and 16710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16703 and 16710. First we will calculate the prime factors of 16703 and 16710.

Prime Factorization of 16703

Prime factors of 16703 are 16703. Prime factorization of 16703 in exponential form is:

16703 = 167031

Prime Factorization of 16710

Prime factors of 16710 are 2, 3, 5, 557. Prime factorization of 16710 in exponential form is:

16710 = 21 × 31 × 51 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 16703 and 16710.

LCM(16703,16710) = 167031 × 21 × 31 × 51 × 5571
LCM(16703,16710) = 279107130