What is the Least Common Multiple of 39005 and 39010?

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 39010 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 39010, than apply into the LCM equation.

GCF(39005,39010) = 5
LCM(39005,39010) = ( 39005 × 39010) / 5
LCM(39005,39010) = 1521585050 / 5
LCM(39005,39010) = 304317010

Least Common Multiple (LCM) of 39005 and 39010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39005 and 39010. First we will calculate the prime factors of 39005 and 39010.

Prime Factorization of 39005

Prime Factorization of 39010

Now multiplying the highest exponent prime factors to calculate the LCM of 39005 and 39010.

LCM(39005,39010) = 5¹ × 29¹ × 269¹ × 2¹ × 47¹ × 83¹
LCM(39005,39010) = 304317010