What is the Least Common Multiple of 34005 and 34025?

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 34005 and 34025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34005 and 34025, than apply into the LCM equation.

GCF(34005,34025) = 5
LCM(34005,34025) = ( 34005 × 34025) / 5
LCM(34005,34025) = 1157020125 / 5
LCM(34005,34025) = 231404025

Least Common Multiple (LCM) of 34005 and 34025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34005 and 34025. First we will calculate the prime factors of 34005 and 34025.

Prime Factorization of 34005

Prime Factorization of 34025

Now multiplying the highest exponent prime factors to calculate the LCM of 34005 and 34025.

LCM(34005,34025) = 3¹ × 5² × 2267¹ × 1361¹
LCM(34005,34025) = 231404025