GCF and LCM Calculator Logo

What is the Least Common Multiple of 16938 and 16946?

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 16938 and 16946 is 143515674.

LCM(16938,16946) = 143515674

LCM Calculator and
and

Least Common Multiple of 16938 and 16946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16938 and 16946, than apply into the LCM equation.

GCF(16938,16946) = 2
LCM(16938,16946) = ( 16938 × 16946) / 2
LCM(16938,16946) = 287031348 / 2
LCM(16938,16946) = 143515674

Least Common Multiple (LCM) of 16938 and 16946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16938 and 16946. First we will calculate the prime factors of 16938 and 16946.

Prime Factorization of 16938

Prime factors of 16938 are 2, 3, 941. Prime factorization of 16938 in exponential form is:

16938 = 21 × 32 × 9411

Prime Factorization of 16946

Prime factors of 16946 are 2, 37, 229. Prime factorization of 16946 in exponential form is:

16946 = 21 × 371 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 16938 and 16946.

LCM(16938,16946) = 21 × 32 × 9411 × 371 × 2291
LCM(16938,16946) = 143515674