What is the Least Common Multiple of 48174 and 48193?

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 48174 and 48193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48174 and 48193, than apply into the LCM equation.

GCF(48174,48193) = 1
LCM(48174,48193) = ( 48174 × 48193) / 1
LCM(48174,48193) = 2321649582 / 1
LCM(48174,48193) = 2321649582

Least Common Multiple (LCM) of 48174 and 48193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48174 and 48193. First we will calculate the prime factors of 48174 and 48193.

Prime Factorization of 48174

Prime Factorization of 48193

Now multiplying the highest exponent prime factors to calculate the LCM of 48174 and 48193.

LCM(48174,48193) = 2¹ × 3¹ × 7¹ × 31¹ × 37¹ × 48193¹
LCM(48174,48193) = 2321649582