What is the Least Common Multiple of 29019 and 29036?

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 29019 and 29036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29019 and 29036, than apply into the LCM equation.

GCF(29019,29036) = 17
LCM(29019,29036) = ( 29019 × 29036) / 17
LCM(29019,29036) = 842595684 / 17
LCM(29019,29036) = 49564452

Least Common Multiple (LCM) of 29019 and 29036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29019 and 29036. First we will calculate the prime factors of 29019 and 29036.

Prime Factorization of 29019

Prime Factorization of 29036

Now multiplying the highest exponent prime factors to calculate the LCM of 29019 and 29036.

LCM(29019,29036) = 3¹ × 17¹ × 569¹ × 2² × 7¹ × 61¹
LCM(29019,29036) = 49564452