What is the Least Common Multiple of 55007 and 55027?

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 55007 and 55027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55007 and 55027, than apply into the LCM equation.

GCF(55007,55027) = 1
LCM(55007,55027) = ( 55007 × 55027) / 1
LCM(55007,55027) = 3026870189 / 1
LCM(55007,55027) = 3026870189

Least Common Multiple (LCM) of 55007 and 55027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55007 and 55027. First we will calculate the prime factors of 55007 and 55027.

Prime Factorization of 55007

Prime Factorization of 55027

Now multiplying the highest exponent prime factors to calculate the LCM of 55007 and 55027.

LCM(55007,55027) = 67¹ × 821¹ × 7² × 1123¹
LCM(55007,55027) = 3026870189