What is the Least Common Multiple of 74856 and 74872?

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 74856 and 74872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74856 and 74872, than apply into the LCM equation.

GCF(74856,74872) = 8
LCM(74856,74872) = ( 74856 × 74872) / 8
LCM(74856,74872) = 5604618432 / 8
LCM(74856,74872) = 700577304

Least Common Multiple (LCM) of 74856 and 74872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74856 and 74872. First we will calculate the prime factors of 74856 and 74872.

Prime Factorization of 74856

Prime Factorization of 74872

Now multiplying the highest exponent prime factors to calculate the LCM of 74856 and 74872.

LCM(74856,74872) = 2³ × 3¹ × 3119¹ × 7² × 191¹
LCM(74856,74872) = 700577304