What is the Least Common Multiple of 80625 and 80643?

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 80625 and 80643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80625 and 80643, than apply into the LCM equation.

GCF(80625,80643) = 3
LCM(80625,80643) = ( 80625 × 80643) / 3
LCM(80625,80643) = 6501841875 / 3
LCM(80625,80643) = 2167280625

Least Common Multiple (LCM) of 80625 and 80643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80625 and 80643. First we will calculate the prime factors of 80625 and 80643.

Prime Factorization of 80625

Prime Factorization of 80643

Now multiplying the highest exponent prime factors to calculate the LCM of 80625 and 80643.

LCM(80625,80643) = 3¹ × 5⁴ × 43¹ × 26881¹
LCM(80625,80643) = 2167280625