What is the Least Common Multiple of 66928 and 66934?

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 66928 and 66934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66928 and 66934, than apply into the LCM equation.

GCF(66928,66934) = 2
LCM(66928,66934) = ( 66928 × 66934) / 2
LCM(66928,66934) = 4479758752 / 2
LCM(66928,66934) = 2239879376

Least Common Multiple (LCM) of 66928 and 66934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66928 and 66934. First we will calculate the prime factors of 66928 and 66934.

Prime Factorization of 66928

Prime Factorization of 66934

Now multiplying the highest exponent prime factors to calculate the LCM of 66928 and 66934.

LCM(66928,66934) = 2⁴ × 47¹ × 89¹ × 7² × 683¹
LCM(66928,66934) = 2239879376