What is the Least Common Multiple of 93012 and 93024?

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 93012 and 93024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93012 and 93024, than apply into the LCM equation.

GCF(93012,93024) = 12
LCM(93012,93024) = ( 93012 × 93024) / 12
LCM(93012,93024) = 8652348288 / 12
LCM(93012,93024) = 721029024

Least Common Multiple (LCM) of 93012 and 93024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93012 and 93024. First we will calculate the prime factors of 93012 and 93024.

Prime Factorization of 93012

Prime Factorization of 93024

Now multiplying the highest exponent prime factors to calculate the LCM of 93012 and 93024.

LCM(93012,93024) = 2⁵ × 3² × 23¹ × 337¹ × 17¹ × 19¹
LCM(93012,93024) = 721029024