What is the Least Common Multiple of 81024 and 81034?

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 81024 and 81034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81024 and 81034, than apply into the LCM equation.

GCF(81024,81034) = 2
LCM(81024,81034) = ( 81024 × 81034) / 2
LCM(81024,81034) = 6565698816 / 2
LCM(81024,81034) = 3282849408

Least Common Multiple (LCM) of 81024 and 81034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81024 and 81034. First we will calculate the prime factors of 81024 and 81034.

Prime Factorization of 81024

Prime Factorization of 81034

Now multiplying the highest exponent prime factors to calculate the LCM of 81024 and 81034.

LCM(81024,81034) = 2⁷ × 3¹ × 211¹ × 31¹ × 1307¹
LCM(81024,81034) = 3282849408