What is the Least Common Multiple of 52791 and 52810?

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 52791 and 52810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52791 and 52810, than apply into the LCM equation.

GCF(52791,52810) = 1
LCM(52791,52810) = ( 52791 × 52810) / 1
LCM(52791,52810) = 2787892710 / 1
LCM(52791,52810) = 2787892710

Least Common Multiple (LCM) of 52791 and 52810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52791 and 52810. First we will calculate the prime factors of 52791 and 52810.

Prime Factorization of 52791

Prime Factorization of 52810

Now multiplying the highest exponent prime factors to calculate the LCM of 52791 and 52810.

LCM(52791,52810) = 3¹ × 17597¹ × 2¹ × 5¹ × 5281¹
LCM(52791,52810) = 2787892710