What is the Least Common Multiple of 39065 and 39075?

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 39065 and 39075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39065 and 39075, than apply into the LCM equation.

GCF(39065,39075) = 5
LCM(39065,39075) = ( 39065 × 39075) / 5
LCM(39065,39075) = 1526464875 / 5
LCM(39065,39075) = 305292975

Least Common Multiple (LCM) of 39065 and 39075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39065 and 39075. First we will calculate the prime factors of 39065 and 39075.

Prime Factorization of 39065

Prime Factorization of 39075

Now multiplying the highest exponent prime factors to calculate the LCM of 39065 and 39075.

LCM(39065,39075) = 5² × 13¹ × 601¹ × 3¹ × 521¹
LCM(39065,39075) = 305292975