What is the Least Common Multiple of 57530 and 57548?

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 57530 and 57548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57530 and 57548, than apply into the LCM equation.

GCF(57530,57548) = 2
LCM(57530,57548) = ( 57530 × 57548) / 2
LCM(57530,57548) = 3310736440 / 2
LCM(57530,57548) = 1655368220

Least Common Multiple (LCM) of 57530 and 57548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57530 and 57548. First we will calculate the prime factors of 57530 and 57548.

Prime Factorization of 57530

Prime Factorization of 57548

Now multiplying the highest exponent prime factors to calculate the LCM of 57530 and 57548.

LCM(57530,57548) = 2² × 5¹ × 11¹ × 523¹ × 14387¹
LCM(57530,57548) = 1655368220