What is the Least Common Multiple of 20085 and 20102?

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 20085 and 20102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20085 and 20102, than apply into the LCM equation.

GCF(20085,20102) = 1
LCM(20085,20102) = ( 20085 × 20102) / 1
LCM(20085,20102) = 403748670 / 1
LCM(20085,20102) = 403748670

Least Common Multiple (LCM) of 20085 and 20102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20085 and 20102. First we will calculate the prime factors of 20085 and 20102.

Prime Factorization of 20085

Prime Factorization of 20102

Now multiplying the highest exponent prime factors to calculate the LCM of 20085 and 20102.

LCM(20085,20102) = 3¹ × 5¹ × 13¹ × 103¹ × 2¹ × 19¹ × 23²
LCM(20085,20102) = 403748670