What is the Least Common Multiple of 39005 and 39025?

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 39005 and 39025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39005 and 39025, than apply into the LCM equation.

GCF(39005,39025) = 5
LCM(39005,39025) = ( 39005 × 39025) / 5
LCM(39005,39025) = 1522170125 / 5
LCM(39005,39025) = 304434025

Least Common Multiple (LCM) of 39005 and 39025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39005 and 39025. First we will calculate the prime factors of 39005 and 39025.

Prime Factorization of 39005

Prime Factorization of 39025

Now multiplying the highest exponent prime factors to calculate the LCM of 39005 and 39025.

LCM(39005,39025) = 5² × 29¹ × 269¹ × 7¹ × 223¹
LCM(39005,39025) = 304434025