What is the Least Common Multiple of 80125 and 80140?

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 80125 and 80140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80125 and 80140, than apply into the LCM equation.

GCF(80125,80140) = 5
LCM(80125,80140) = ( 80125 × 80140) / 5
LCM(80125,80140) = 6421217500 / 5
LCM(80125,80140) = 1284243500

Least Common Multiple (LCM) of 80125 and 80140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80125 and 80140. First we will calculate the prime factors of 80125 and 80140.

Prime Factorization of 80125

Prime Factorization of 80140

Now multiplying the highest exponent prime factors to calculate the LCM of 80125 and 80140.

LCM(80125,80140) = 5³ × 641¹ × 2² × 4007¹
LCM(80125,80140) = 1284243500