What is the Least Common Multiple of 53000 and 53012?

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 53000 and 53012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53000 and 53012, than apply into the LCM equation.

GCF(53000,53012) = 4
LCM(53000,53012) = ( 53000 × 53012) / 4
LCM(53000,53012) = 2809636000 / 4
LCM(53000,53012) = 702409000

Least Common Multiple (LCM) of 53000 and 53012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53000 and 53012. First we will calculate the prime factors of 53000 and 53012.

Prime Factorization of 53000

Prime Factorization of 53012

Now multiplying the highest exponent prime factors to calculate the LCM of 53000 and 53012.

LCM(53000,53012) = 2³ × 5³ × 53¹ × 29¹ × 457¹
LCM(53000,53012) = 702409000