What is the Least Common Multiple of 3009 and 3029?

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 3009 and 3029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3009 and 3029, than apply into the LCM equation.

GCF(3009,3029) = 1
LCM(3009,3029) = ( 3009 × 3029) / 1
LCM(3009,3029) = 9114261 / 1
LCM(3009,3029) = 9114261

Least Common Multiple (LCM) of 3009 and 3029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3009 and 3029. First we will calculate the prime factors of 3009 and 3029.

Prime Factorization of 3009

Prime Factorization of 3029

Now multiplying the highest exponent prime factors to calculate the LCM of 3009 and 3029.

LCM(3009,3029) = 3¹ × 17¹ × 59¹ × 13¹ × 233¹
LCM(3009,3029) = 9114261