What is the Least Common Multiple of 81016 and 81021?

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 81016 and 81021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81016 and 81021, than apply into the LCM equation.

GCF(81016,81021) = 1
LCM(81016,81021) = ( 81016 × 81021) / 1
LCM(81016,81021) = 6563997336 / 1
LCM(81016,81021) = 6563997336

Least Common Multiple (LCM) of 81016 and 81021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81016 and 81021. First we will calculate the prime factors of 81016 and 81021.

Prime Factorization of 81016

Prime Factorization of 81021

Now multiplying the highest exponent prime factors to calculate the LCM of 81016 and 81021.

LCM(81016,81021) = 2³ × 13¹ × 19¹ × 41¹ × 3¹ × 113¹ × 239¹
LCM(81016,81021) = 6563997336