What is the Least Common Multiple of 55005 and 55025?

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 55005 and 55025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55005 and 55025, than apply into the LCM equation.

GCF(55005,55025) = 5
LCM(55005,55025) = ( 55005 × 55025) / 5
LCM(55005,55025) = 3026650125 / 5
LCM(55005,55025) = 605330025

Least Common Multiple (LCM) of 55005 and 55025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55005 and 55025. First we will calculate the prime factors of 55005 and 55025.

Prime Factorization of 55005

Prime Factorization of 55025

Now multiplying the highest exponent prime factors to calculate the LCM of 55005 and 55025.

LCM(55005,55025) = 3¹ × 5² × 19¹ × 193¹ × 31¹ × 71¹
LCM(55005,55025) = 605330025