What is the Least Common Multiple of 54003 and 54009?

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 54003 and 54009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54003 and 54009, than apply into the LCM equation.

GCF(54003,54009) = 3
LCM(54003,54009) = ( 54003 × 54009) / 3
LCM(54003,54009) = 2916648027 / 3
LCM(54003,54009) = 972216009

Least Common Multiple (LCM) of 54003 and 54009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54003 and 54009. First we will calculate the prime factors of 54003 and 54009.

Prime Factorization of 54003

Prime Factorization of 54009

Now multiplying the highest exponent prime factors to calculate the LCM of 54003 and 54009.

LCM(54003,54009) = 3² × 47¹ × 383¹ × 17¹ × 353¹
LCM(54003,54009) = 972216009