GCF and LCM Calculator Logo

What is the Least Common Multiple of 16816 and 16836?

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 16816 and 16836 is 70778544.

LCM(16816,16836) = 70778544

LCM Calculator and
and

Least Common Multiple of 16816 and 16836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16816 and 16836, than apply into the LCM equation.

GCF(16816,16836) = 4
LCM(16816,16836) = ( 16816 × 16836) / 4
LCM(16816,16836) = 283114176 / 4
LCM(16816,16836) = 70778544

Least Common Multiple (LCM) of 16816 and 16836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16816 and 16836. First we will calculate the prime factors of 16816 and 16836.

Prime Factorization of 16816

Prime factors of 16816 are 2, 1051. Prime factorization of 16816 in exponential form is:

16816 = 24 × 10511

Prime Factorization of 16836

Prime factors of 16836 are 2, 3, 23, 61. Prime factorization of 16836 in exponential form is:

16836 = 22 × 31 × 231 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 16816 and 16836.

LCM(16816,16836) = 24 × 10511 × 31 × 231 × 611
LCM(16816,16836) = 70778544