What is the Least Common Multiple of 81012 and 81024?

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 81012 and 81024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81012 and 81024, than apply into the LCM equation.

GCF(81012,81024) = 12
LCM(81012,81024) = ( 81012 × 81024) / 12
LCM(81012,81024) = 6563916288 / 12
LCM(81012,81024) = 546993024

Least Common Multiple (LCM) of 81012 and 81024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81012 and 81024. First we will calculate the prime factors of 81012 and 81024.

Prime Factorization of 81012

Prime Factorization of 81024

Now multiplying the highest exponent prime factors to calculate the LCM of 81012 and 81024.

LCM(81012,81024) = 2⁷ × 3¹ × 43¹ × 157¹ × 211¹
LCM(81012,81024) = 546993024