What is the Least Common Multiple of 52085 and 52099?

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 52085 and 52099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52085 and 52099, than apply into the LCM equation.

GCF(52085,52099) = 1
LCM(52085,52099) = ( 52085 × 52099) / 1
LCM(52085,52099) = 2713576415 / 1
LCM(52085,52099) = 2713576415

Least Common Multiple (LCM) of 52085 and 52099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52085 and 52099. First we will calculate the prime factors of 52085 and 52099.

Prime Factorization of 52085

Prime Factorization of 52099

Now multiplying the highest exponent prime factors to calculate the LCM of 52085 and 52099.

LCM(52085,52099) = 5¹ × 11¹ × 947¹ × 53¹ × 983¹
LCM(52085,52099) = 2713576415