What is the Least Common Multiple of 52869 and 52882?

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 52869 and 52882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52869 and 52882, than apply into the LCM equation.

GCF(52869,52882) = 1
LCM(52869,52882) = ( 52869 × 52882) / 1
LCM(52869,52882) = 2795818458 / 1
LCM(52869,52882) = 2795818458

Least Common Multiple (LCM) of 52869 and 52882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52869 and 52882. First we will calculate the prime factors of 52869 and 52882.

Prime Factorization of 52869

Prime Factorization of 52882

Now multiplying the highest exponent prime factors to calculate the LCM of 52869 and 52882.

LCM(52869,52882) = 3¹ × 17623¹ × 2¹ × 137¹ × 193¹
LCM(52869,52882) = 2795818458