What is the Least Common Multiple of 80625 and 80634?

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 80634 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 80634, than apply into the LCM equation.

GCF(80625,80634) = 3
LCM(80625,80634) = ( 80625 × 80634) / 3
LCM(80625,80634) = 6501116250 / 3
LCM(80625,80634) = 2167038750

Least Common Multiple (LCM) of 80625 and 80634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80625 and 80634. First we will calculate the prime factors of 80625 and 80634.

Prime Factorization of 80625

Prime Factorization of 80634

Now multiplying the highest exponent prime factors to calculate the LCM of 80625 and 80634.

LCM(80625,80634) = 3¹ × 5⁴ × 43¹ × 2¹ × 89¹ × 151¹
LCM(80625,80634) = 2167038750