What is the Least Common Multiple of 81021 and 81036?

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 81021 and 81036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81021 and 81036, than apply into the LCM equation.

GCF(81021,81036) = 3
LCM(81021,81036) = ( 81021 × 81036) / 3
LCM(81021,81036) = 6565617756 / 3
LCM(81021,81036) = 2188539252

Least Common Multiple (LCM) of 81021 and 81036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81021 and 81036. First we will calculate the prime factors of 81021 and 81036.

Prime Factorization of 81021

Prime Factorization of 81036

Now multiplying the highest exponent prime factors to calculate the LCM of 81021 and 81036.

LCM(81021,81036) = 3² × 113¹ × 239¹ × 2² × 2251¹
LCM(81021,81036) = 2188539252