GCF and LCM Calculator Logo

What is the Least Common Multiple of 16930 and 16944?

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 16930 and 16944 is 143430960.

LCM(16930,16944) = 143430960

LCM Calculator and
and

Least Common Multiple of 16930 and 16944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16930 and 16944, than apply into the LCM equation.

GCF(16930,16944) = 2
LCM(16930,16944) = ( 16930 × 16944) / 2
LCM(16930,16944) = 286861920 / 2
LCM(16930,16944) = 143430960

Least Common Multiple (LCM) of 16930 and 16944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16930 and 16944. First we will calculate the prime factors of 16930 and 16944.

Prime Factorization of 16930

Prime factors of 16930 are 2, 5, 1693. Prime factorization of 16930 in exponential form is:

16930 = 21 × 51 × 16931

Prime Factorization of 16944

Prime factors of 16944 are 2, 3, 353. Prime factorization of 16944 in exponential form is:

16944 = 24 × 31 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 16930 and 16944.

LCM(16930,16944) = 24 × 51 × 16931 × 31 × 3531
LCM(16930,16944) = 143430960