What is the Least Common Multiple of 48529 and 48543?

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 48529 and 48543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48529 and 48543, than apply into the LCM equation.

GCF(48529,48543) = 1
LCM(48529,48543) = ( 48529 × 48543) / 1
LCM(48529,48543) = 2355743247 / 1
LCM(48529,48543) = 2355743247

Least Common Multiple (LCM) of 48529 and 48543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48529 and 48543. First we will calculate the prime factors of 48529 and 48543.

Prime Factorization of 48529

Prime Factorization of 48543

Now multiplying the highest exponent prime factors to calculate the LCM of 48529 and 48543.

LCM(48529,48543) = 13¹ × 3733¹ × 3¹ × 11¹ × 1471¹
LCM(48529,48543) = 2355743247