What is the Least Common Multiple of 81625 and 81641?

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 81625 and 81641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81625 and 81641, than apply into the LCM equation.

GCF(81625,81641) = 1
LCM(81625,81641) = ( 81625 × 81641) / 1
LCM(81625,81641) = 6663946625 / 1
LCM(81625,81641) = 6663946625

Least Common Multiple (LCM) of 81625 and 81641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81625 and 81641. First we will calculate the prime factors of 81625 and 81641.

Prime Factorization of 81625

Prime Factorization of 81641

Now multiplying the highest exponent prime factors to calculate the LCM of 81625 and 81641.

LCM(81625,81641) = 5³ × 653¹ × 7¹ × 107¹ × 109¹
LCM(81625,81641) = 6663946625