What is the Least Common Multiple of 52824 and 52829?

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 52824 and 52829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52824 and 52829, than apply into the LCM equation.

GCF(52824,52829) = 1
LCM(52824,52829) = ( 52824 × 52829) / 1
LCM(52824,52829) = 2790639096 / 1
LCM(52824,52829) = 2790639096

Least Common Multiple (LCM) of 52824 and 52829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52824 and 52829. First we will calculate the prime factors of 52824 and 52829.

Prime Factorization of 52824

Prime Factorization of 52829

Now multiplying the highest exponent prime factors to calculate the LCM of 52824 and 52829.

LCM(52824,52829) = 2³ × 3¹ × 31¹ × 71¹ × 7¹ × 7547¹
LCM(52824,52829) = 2790639096