What is the Least Common Multiple of 54173 and 54191?

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 54173 and 54191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54173 and 54191, than apply into the LCM equation.

GCF(54173,54191) = 1
LCM(54173,54191) = ( 54173 × 54191) / 1
LCM(54173,54191) = 2935689043 / 1
LCM(54173,54191) = 2935689043

Least Common Multiple (LCM) of 54173 and 54191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54173 and 54191. First we will calculate the prime factors of 54173 and 54191.

Prime Factorization of 54173

Prime Factorization of 54191

Now multiplying the highest exponent prime factors to calculate the LCM of 54173 and 54191.

LCM(54173,54191) = 7¹ × 71¹ × 109¹ × 47¹ × 1153¹
LCM(54173,54191) = 2935689043