What is the Least Common Multiple of 2009 and 2029?

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 2009 and 2029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2009 and 2029, than apply into the LCM equation.

GCF(2009,2029) = 1
LCM(2009,2029) = ( 2009 × 2029) / 1
LCM(2009,2029) = 4076261 / 1
LCM(2009,2029) = 4076261

Least Common Multiple (LCM) of 2009 and 2029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2009 and 2029. First we will calculate the prime factors of 2009 and 2029.

Prime Factorization of 2009

Prime Factorization of 2029

Now multiplying the highest exponent prime factors to calculate the LCM of 2009 and 2029.

LCM(2009,2029) = 7² × 41¹ × 2029¹
LCM(2009,2029) = 4076261