What is the Least Common Multiple of 53084 and 53089?

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 53084 and 53089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53084 and 53089, than apply into the LCM equation.

GCF(53084,53089) = 1
LCM(53084,53089) = ( 53084 × 53089) / 1
LCM(53084,53089) = 2818176476 / 1
LCM(53084,53089) = 2818176476

Least Common Multiple (LCM) of 53084 and 53089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53084 and 53089. First we will calculate the prime factors of 53084 and 53089.

Prime Factorization of 53084

Prime Factorization of 53089

Now multiplying the highest exponent prime factors to calculate the LCM of 53084 and 53089.

LCM(53084,53089) = 2² × 23¹ × 577¹ × 53089¹
LCM(53084,53089) = 2818176476