What is the Least Common Multiple of 53784 and 53792?

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 53784 and 53792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53784 and 53792, than apply into the LCM equation.

GCF(53784,53792) = 8
LCM(53784,53792) = ( 53784 × 53792) / 8
LCM(53784,53792) = 2893148928 / 8
LCM(53784,53792) = 361643616

Least Common Multiple (LCM) of 53784 and 53792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53784 and 53792. First we will calculate the prime factors of 53784 and 53792.

Prime Factorization of 53784

Prime Factorization of 53792

Now multiplying the highest exponent prime factors to calculate the LCM of 53784 and 53792.

LCM(53784,53792) = 2⁵ × 3⁴ × 83¹ × 41²
LCM(53784,53792) = 361643616