What is the Least Common Multiple of 48543 and 48547?

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 48543 and 48547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48543 and 48547, than apply into the LCM equation.

GCF(48543,48547) = 1
LCM(48543,48547) = ( 48543 × 48547) / 1
LCM(48543,48547) = 2356617021 / 1
LCM(48543,48547) = 2356617021

Least Common Multiple (LCM) of 48543 and 48547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48543 and 48547. First we will calculate the prime factors of 48543 and 48547.

Prime Factorization of 48543

Prime Factorization of 48547

Now multiplying the highest exponent prime factors to calculate the LCM of 48543 and 48547.

LCM(48543,48547) = 3¹ × 11¹ × 1471¹ × 43¹ × 1129¹
LCM(48543,48547) = 2356617021