GCF and LCM Calculator Logo

What is the Least Common Multiple of 16910 and 16924?

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 16910 and 16924 is 143092420.

LCM(16910,16924) = 143092420

LCM Calculator and
and

Least Common Multiple of 16910 and 16924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16910 and 16924, than apply into the LCM equation.

GCF(16910,16924) = 2
LCM(16910,16924) = ( 16910 × 16924) / 2
LCM(16910,16924) = 286184840 / 2
LCM(16910,16924) = 143092420

Least Common Multiple (LCM) of 16910 and 16924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16910 and 16924. First we will calculate the prime factors of 16910 and 16924.

Prime Factorization of 16910

Prime factors of 16910 are 2, 5, 19, 89. Prime factorization of 16910 in exponential form is:

16910 = 21 × 51 × 191 × 891

Prime Factorization of 16924

Prime factors of 16924 are 2, 4231. Prime factorization of 16924 in exponential form is:

16924 = 22 × 42311

Now multiplying the highest exponent prime factors to calculate the LCM of 16910 and 16924.

LCM(16910,16924) = 22 × 51 × 191 × 891 × 42311
LCM(16910,16924) = 143092420