What is the Least Common Multiple of 80625 and 80632?

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 80632 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 80632, than apply into the LCM equation.

GCF(80625,80632) = 1
LCM(80625,80632) = ( 80625 × 80632) / 1
LCM(80625,80632) = 6500955000 / 1
LCM(80625,80632) = 6500955000

Least Common Multiple (LCM) of 80625 and 80632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80625 and 80632. First we will calculate the prime factors of 80625 and 80632.

Prime Factorization of 80625

Prime Factorization of 80632

Now multiplying the highest exponent prime factors to calculate the LCM of 80625 and 80632.

LCM(80625,80632) = 3¹ × 5⁴ × 43¹ × 2³ × 10079¹
LCM(80625,80632) = 6500955000