What is the Least Common Multiple of 20075 and 20095?

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 20095 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 20095, than apply into the LCM equation.

GCF(20075,20095) = 5
LCM(20075,20095) = ( 20075 × 20095) / 5
LCM(20075,20095) = 403407125 / 5
LCM(20075,20095) = 80681425

Least Common Multiple (LCM) of 20075 and 20095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20075 and 20095. First we will calculate the prime factors of 20075 and 20095.

Prime Factorization of 20075

Prime Factorization of 20095

Now multiplying the highest exponent prime factors to calculate the LCM of 20075 and 20095.

LCM(20075,20095) = 5² × 11¹ × 73¹ × 4019¹
LCM(20075,20095) = 80681425