What is the Least Common Multiple of 16921 and 16936?

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 of 16921 and 16936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16921 and 16936, than apply into the LCM equation.

GCF(16921,16936) = 1
LCM(16921,16936) = ( 16921 × 16936) / 1
LCM(16921,16936) = 286574056 / 1
LCM(16921,16936) = 286574056

Least Common Multiple (LCM) of 16921 and 16936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16921 and 16936. First we will calculate the prime factors of 16921 and 16936.

Prime Factorization of 16921

Prime Factorization of 16936

Now multiplying the highest exponent prime factors to calculate the LCM of 16921 and 16936.

LCM(16921,16936) = 16921¹ × 2³ × 29¹ × 73¹
LCM(16921,16936) = 286574056