What is the Least Common Multiple of 80035 and 80040?

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 80035 and 80040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80035 and 80040, than apply into the LCM equation.

GCF(80035,80040) = 5
LCM(80035,80040) = ( 80035 × 80040) / 5
LCM(80035,80040) = 6406001400 / 5
LCM(80035,80040) = 1281200280

Least Common Multiple (LCM) of 80035 and 80040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80035 and 80040. First we will calculate the prime factors of 80035 and 80040.

Prime Factorization of 80035

Prime Factorization of 80040

Now multiplying the highest exponent prime factors to calculate the LCM of 80035 and 80040.

LCM(80035,80040) = 5¹ × 16007¹ × 2³ × 3¹ × 23¹ × 29¹
LCM(80035,80040) = 1281200280