GCF and LCM Calculator Logo

What is the Least Common Multiple of 16696 and 16707?

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 16696 and 16707 is 278940072.

LCM(16696,16707) = 278940072

LCM Calculator and
and

Least Common Multiple of 16696 and 16707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16696 and 16707, than apply into the LCM equation.

GCF(16696,16707) = 1
LCM(16696,16707) = ( 16696 × 16707) / 1
LCM(16696,16707) = 278940072 / 1
LCM(16696,16707) = 278940072

Least Common Multiple (LCM) of 16696 and 16707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16696 and 16707. First we will calculate the prime factors of 16696 and 16707.

Prime Factorization of 16696

Prime factors of 16696 are 2, 2087. Prime factorization of 16696 in exponential form is:

16696 = 23 × 20871

Prime Factorization of 16707

Prime factors of 16707 are 3, 5569. Prime factorization of 16707 in exponential form is:

16707 = 31 × 55691

Now multiplying the highest exponent prime factors to calculate the LCM of 16696 and 16707.

LCM(16696,16707) = 23 × 20871 × 31 × 55691
LCM(16696,16707) = 278940072