What is the Least Common Multiple of 81719 and 81730?

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 81719 and 81730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81719 and 81730, than apply into the LCM equation.

GCF(81719,81730) = 11
LCM(81719,81730) = ( 81719 × 81730) / 11
LCM(81719,81730) = 6678893870 / 11
LCM(81719,81730) = 607172170

Least Common Multiple (LCM) of 81719 and 81730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81719 and 81730. First we will calculate the prime factors of 81719 and 81730.

Prime Factorization of 81719

Prime Factorization of 81730

Now multiplying the highest exponent prime factors to calculate the LCM of 81719 and 81730.

LCM(81719,81730) = 11¹ × 17¹ × 19¹ × 23¹ × 2¹ × 5¹ × 743¹
LCM(81719,81730) = 607172170