What is the Least Common Multiple of 54069 and 54075?

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 54069 and 54075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54069 and 54075, than apply into the LCM equation.

GCF(54069,54075) = 3
LCM(54069,54075) = ( 54069 × 54075) / 3
LCM(54069,54075) = 2923781175 / 3
LCM(54069,54075) = 974593725

Least Common Multiple (LCM) of 54069 and 54075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54069 and 54075. First we will calculate the prime factors of 54069 and 54075.

Prime Factorization of 54069

Prime Factorization of 54075

Now multiplying the highest exponent prime factors to calculate the LCM of 54069 and 54075.

LCM(54069,54075) = 3¹ × 67¹ × 269¹ × 5² × 7¹ × 103¹
LCM(54069,54075) = 974593725