What is the Least Common Multiple of 80825 and 80840?

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 80825 and 80840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80825 and 80840, than apply into the LCM equation.

GCF(80825,80840) = 5
LCM(80825,80840) = ( 80825 × 80840) / 5
LCM(80825,80840) = 6533893000 / 5
LCM(80825,80840) = 1306778600

Least Common Multiple (LCM) of 80825 and 80840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80825 and 80840. First we will calculate the prime factors of 80825 and 80840.

Prime Factorization of 80825

Prime Factorization of 80840

Now multiplying the highest exponent prime factors to calculate the LCM of 80825 and 80840.

LCM(80825,80840) = 5² × 53¹ × 61¹ × 2³ × 43¹ × 47¹
LCM(80825,80840) = 1306778600