What is the Least Common Multiple of 20102 and 20108?

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 20102 and 20108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20102 and 20108, than apply into the LCM equation.

GCF(20102,20108) = 2
LCM(20102,20108) = ( 20102 × 20108) / 2
LCM(20102,20108) = 404211016 / 2
LCM(20102,20108) = 202105508

Least Common Multiple (LCM) of 20102 and 20108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20102 and 20108. First we will calculate the prime factors of 20102 and 20108.

Prime Factorization of 20102

Prime Factorization of 20108

Now multiplying the highest exponent prime factors to calculate the LCM of 20102 and 20108.

LCM(20102,20108) = 2² × 19¹ × 23² × 11¹ × 457¹
LCM(20102,20108) = 202105508