What is the Least Common Multiple of 52824 and 52832?

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 52832 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 52832, than apply into the LCM equation.

GCF(52824,52832) = 8
LCM(52824,52832) = ( 52824 × 52832) / 8
LCM(52824,52832) = 2790797568 / 8
LCM(52824,52832) = 348849696

Least Common Multiple (LCM) of 52824 and 52832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52824 and 52832. First we will calculate the prime factors of 52824 and 52832.

Prime Factorization of 52824

Prime Factorization of 52832

Now multiplying the highest exponent prime factors to calculate the LCM of 52824 and 52832.

LCM(52824,52832) = 2⁵ × 3¹ × 31¹ × 71¹ × 13¹ × 127¹
LCM(52824,52832) = 348849696