What is the Least Common Multiple of 20110 and 20114?

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 20110 and 20114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20110 and 20114, than apply into the LCM equation.

GCF(20110,20114) = 2
LCM(20110,20114) = ( 20110 × 20114) / 2
LCM(20110,20114) = 404492540 / 2
LCM(20110,20114) = 202246270

Least Common Multiple (LCM) of 20110 and 20114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20110 and 20114. First we will calculate the prime factors of 20110 and 20114.

Prime Factorization of 20110

Prime Factorization of 20114

Now multiplying the highest exponent prime factors to calculate the LCM of 20110 and 20114.

LCM(20110,20114) = 2¹ × 5¹ × 2011¹ × 89¹ × 113¹
LCM(20110,20114) = 202246270