What is the Least Common Multiple of 48547 and 48563?

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 48547 and 48563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48547 and 48563, than apply into the LCM equation.

GCF(48547,48563) = 1
LCM(48547,48563) = ( 48547 × 48563) / 1
LCM(48547,48563) = 2357587961 / 1
LCM(48547,48563) = 2357587961

Least Common Multiple (LCM) of 48547 and 48563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48547 and 48563. First we will calculate the prime factors of 48547 and 48563.

Prime Factorization of 48547

Prime Factorization of 48563

Now multiplying the highest exponent prime factors to calculate the LCM of 48547 and 48563.

LCM(48547,48563) = 43¹ × 1129¹ × 48563¹
LCM(48547,48563) = 2357587961