What is the Least Common Multiple of 20075 and 20093?

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 20075 and 20093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20075 and 20093, than apply into the LCM equation.

GCF(20075,20093) = 1
LCM(20075,20093) = ( 20075 × 20093) / 1
LCM(20075,20093) = 403366975 / 1
LCM(20075,20093) = 403366975

Least Common Multiple (LCM) of 20075 and 20093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20075 and 20093. First we will calculate the prime factors of 20075 and 20093.

Prime Factorization of 20075

Prime Factorization of 20093

Now multiplying the highest exponent prime factors to calculate the LCM of 20075 and 20093.

LCM(20075,20093) = 5² × 11¹ × 73¹ × 71¹ × 283¹
LCM(20075,20093) = 403366975