What is the Least Common Multiple of 20101 and 20110?

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 20101 and 20110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20101 and 20110, than apply into the LCM equation.

GCF(20101,20110) = 1
LCM(20101,20110) = ( 20101 × 20110) / 1
LCM(20101,20110) = 404231110 / 1
LCM(20101,20110) = 404231110

Least Common Multiple (LCM) of 20101 and 20110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20101 and 20110. First we will calculate the prime factors of 20101 and 20110.

Prime Factorization of 20101

Prime Factorization of 20110

Now multiplying the highest exponent prime factors to calculate the LCM of 20101 and 20110.

LCM(20101,20110) = 20101¹ × 2¹ × 5¹ × 2011¹
LCM(20101,20110) = 404231110