What is the Least Common Multiple of 55084 and 55091?

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 55084 and 55091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55084 and 55091, than apply into the LCM equation.

GCF(55084,55091) = 1
LCM(55084,55091) = ( 55084 × 55091) / 1
LCM(55084,55091) = 3034632644 / 1
LCM(55084,55091) = 3034632644

Least Common Multiple (LCM) of 55084 and 55091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55084 and 55091. First we will calculate the prime factors of 55084 and 55091.

Prime Factorization of 55084

Prime Factorization of 55091

Now multiplying the highest exponent prime factors to calculate the LCM of 55084 and 55091.

LCM(55084,55091) = 2² × 47¹ × 293¹ × 89¹ × 619¹
LCM(55084,55091) = 3034632644