What is the Least Common Multiple of 80020 and 80035?

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 80020 and 80035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80020 and 80035, than apply into the LCM equation.

GCF(80020,80035) = 5
LCM(80020,80035) = ( 80020 × 80035) / 5
LCM(80020,80035) = 6404400700 / 5
LCM(80020,80035) = 1280880140

Least Common Multiple (LCM) of 80020 and 80035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80020 and 80035. First we will calculate the prime factors of 80020 and 80035.

Prime Factorization of 80020

Prime Factorization of 80035

Now multiplying the highest exponent prime factors to calculate the LCM of 80020 and 80035.

LCM(80020,80035) = 2² × 5¹ × 4001¹ × 16007¹
LCM(80020,80035) = 1280880140