What is the Least Common Multiple of 17928 and 17942?

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 17928 and 17942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17928 and 17942, than apply into the LCM equation.

GCF(17928,17942) = 2
LCM(17928,17942) = ( 17928 × 17942) / 2
LCM(17928,17942) = 321664176 / 2
LCM(17928,17942) = 160832088

Least Common Multiple (LCM) of 17928 and 17942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17928 and 17942. First we will calculate the prime factors of 17928 and 17942.

Prime Factorization of 17928

Prime Factorization of 17942

Now multiplying the highest exponent prime factors to calculate the LCM of 17928 and 17942.

LCM(17928,17942) = 2³ × 3³ × 83¹ × 8971¹
LCM(17928,17942) = 160832088