What is the Least Common Multiple of 29114 and 29130?

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 29114 and 29130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29114 and 29130, than apply into the LCM equation.

GCF(29114,29130) = 2
LCM(29114,29130) = ( 29114 × 29130) / 2
LCM(29114,29130) = 848090820 / 2
LCM(29114,29130) = 424045410

Least Common Multiple (LCM) of 29114 and 29130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29114 and 29130. First we will calculate the prime factors of 29114 and 29130.

Prime Factorization of 29114

Prime Factorization of 29130

Now multiplying the highest exponent prime factors to calculate the LCM of 29114 and 29130.

LCM(29114,29130) = 2¹ × 14557¹ × 3¹ × 5¹ × 971¹
LCM(29114,29130) = 424045410