What is the Least Common Multiple of 20050 and 20069?

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 20050 and 20069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20050 and 20069, than apply into the LCM equation.

GCF(20050,20069) = 1
LCM(20050,20069) = ( 20050 × 20069) / 1
LCM(20050,20069) = 402383450 / 1
LCM(20050,20069) = 402383450

Least Common Multiple (LCM) of 20050 and 20069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20050 and 20069. First we will calculate the prime factors of 20050 and 20069.

Prime Factorization of 20050

Prime Factorization of 20069

Now multiplying the highest exponent prime factors to calculate the LCM of 20050 and 20069.

LCM(20050,20069) = 2¹ × 5² × 401¹ × 7¹ × 47¹ × 61¹
LCM(20050,20069) = 402383450