What is the Least Common Multiple of 53792 and 53804?

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 53804 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 53804, than apply into the LCM equation.

GCF(53792,53804) = 4
LCM(53792,53804) = ( 53792 × 53804) / 4
LCM(53792,53804) = 2894224768 / 4
LCM(53792,53804) = 723556192

Least Common Multiple (LCM) of 53792 and 53804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53792 and 53804. First we will calculate the prime factors of 53792 and 53804.

Prime Factorization of 53792

Prime Factorization of 53804

Now multiplying the highest exponent prime factors to calculate the LCM of 53792 and 53804.

LCM(53792,53804) = 2⁵ × 41² × 13451¹
LCM(53792,53804) = 723556192