What is the Least Common Multiple of 80180 and 80200?

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 80180 and 80200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80180 and 80200, than apply into the LCM equation.

GCF(80180,80200) = 20
LCM(80180,80200) = ( 80180 × 80200) / 20
LCM(80180,80200) = 6430436000 / 20
LCM(80180,80200) = 321521800

Least Common Multiple (LCM) of 80180 and 80200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80180 and 80200. First we will calculate the prime factors of 80180 and 80200.

Prime Factorization of 80180

Prime Factorization of 80200

Now multiplying the highest exponent prime factors to calculate the LCM of 80180 and 80200.

LCM(80180,80200) = 2³ × 5² × 19¹ × 211¹ × 401¹
LCM(80180,80200) = 321521800