What is the Least Common Multiple of 53792 and 53796?

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 53792 and 53796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53792 and 53796, than apply into the LCM equation.

GCF(53792,53796) = 4
LCM(53792,53796) = ( 53792 × 53796) / 4
LCM(53792,53796) = 2893794432 / 4
LCM(53792,53796) = 723448608

Least Common Multiple (LCM) of 53792 and 53796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53792 and 53796. First we will calculate the prime factors of 53792 and 53796.

Prime Factorization of 53792

Prime Factorization of 53796

Now multiplying the highest exponent prime factors to calculate the LCM of 53792 and 53796.

LCM(53792,53796) = 2⁵ × 41² × 3¹ × 4483¹
LCM(53792,53796) = 723448608