What is the Least Common Multiple of 80705 and 80725?

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 80705 and 80725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80705 and 80725, than apply into the LCM equation.

GCF(80705,80725) = 5
LCM(80705,80725) = ( 80705 × 80725) / 5
LCM(80705,80725) = 6514911125 / 5
LCM(80705,80725) = 1302982225

Least Common Multiple (LCM) of 80705 and 80725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80705 and 80725. First we will calculate the prime factors of 80705 and 80725.

Prime Factorization of 80705

Prime Factorization of 80725

Now multiplying the highest exponent prime factors to calculate the LCM of 80705 and 80725.

LCM(80705,80725) = 5² × 16141¹ × 3229¹
LCM(80705,80725) = 1302982225