What is the Least Common Multiple of 54075 and 54082?

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 54075 and 54082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54075 and 54082, than apply into the LCM equation.

GCF(54075,54082) = 7
LCM(54075,54082) = ( 54075 × 54082) / 7
LCM(54075,54082) = 2924484150 / 7
LCM(54075,54082) = 417783450

Least Common Multiple (LCM) of 54075 and 54082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54075 and 54082. First we will calculate the prime factors of 54075 and 54082.

Prime Factorization of 54075

Prime Factorization of 54082

Now multiplying the highest exponent prime factors to calculate the LCM of 54075 and 54082.

LCM(54075,54082) = 3¹ × 5² × 7¹ × 103¹ × 2¹ × 3863¹
LCM(54075,54082) = 417783450