What is the Least Common Multiple of 80140 and 80155?

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 80140 and 80155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80140 and 80155, than apply into the LCM equation.

GCF(80140,80155) = 5
LCM(80140,80155) = ( 80140 × 80155) / 5
LCM(80140,80155) = 6423621700 / 5
LCM(80140,80155) = 1284724340

Least Common Multiple (LCM) of 80140 and 80155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80140 and 80155. First we will calculate the prime factors of 80140 and 80155.

Prime Factorization of 80140

Prime Factorization of 80155

Now multiplying the highest exponent prime factors to calculate the LCM of 80140 and 80155.

LCM(80140,80155) = 2² × 5¹ × 4007¹ × 17¹ × 23¹ × 41¹
LCM(80140,80155) = 1284724340