What is the Least Common Multiple of 20117 and 20130?

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 20117 and 20130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20117 and 20130, than apply into the LCM equation.

GCF(20117,20130) = 1
LCM(20117,20130) = ( 20117 × 20130) / 1
LCM(20117,20130) = 404955210 / 1
LCM(20117,20130) = 404955210

Least Common Multiple (LCM) of 20117 and 20130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20117 and 20130. First we will calculate the prime factors of 20117 and 20130.

Prime Factorization of 20117

Prime Factorization of 20130

Now multiplying the highest exponent prime factors to calculate the LCM of 20117 and 20130.

LCM(20117,20130) = 20117¹ × 2¹ × 3¹ × 5¹ × 11¹ × 61¹
LCM(20117,20130) = 404955210