What is the Least Common Multiple of 54009 and 54024?

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 54009 and 54024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54009 and 54024, than apply into the LCM equation.

GCF(54009,54024) = 3
LCM(54009,54024) = ( 54009 × 54024) / 3
LCM(54009,54024) = 2917782216 / 3
LCM(54009,54024) = 972594072

Least Common Multiple (LCM) of 54009 and 54024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54009 and 54024. First we will calculate the prime factors of 54009 and 54024.

Prime Factorization of 54009

Prime Factorization of 54024

Now multiplying the highest exponent prime factors to calculate the LCM of 54009 and 54024.

LCM(54009,54024) = 3² × 17¹ × 353¹ × 2³ × 2251¹
LCM(54009,54024) = 972594072