What is the Least Common Multiple of 80120 and 80125?

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 80120 and 80125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80120 and 80125, than apply into the LCM equation.

GCF(80120,80125) = 5
LCM(80120,80125) = ( 80120 × 80125) / 5
LCM(80120,80125) = 6419615000 / 5
LCM(80120,80125) = 1283923000

Least Common Multiple (LCM) of 80120 and 80125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80120 and 80125. First we will calculate the prime factors of 80120 and 80125.

Prime Factorization of 80120

Prime Factorization of 80125

Now multiplying the highest exponent prime factors to calculate the LCM of 80120 and 80125.

LCM(80120,80125) = 2³ × 5³ × 2003¹ × 641¹
LCM(80120,80125) = 1283923000