What is the Least Common Multiple of 57784 and 57792?

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 57784 and 57792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57784 and 57792, than apply into the LCM equation.

GCF(57784,57792) = 8
LCM(57784,57792) = ( 57784 × 57792) / 8
LCM(57784,57792) = 3339452928 / 8
LCM(57784,57792) = 417431616

Least Common Multiple (LCM) of 57784 and 57792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57784 and 57792. First we will calculate the prime factors of 57784 and 57792.

Prime Factorization of 57784

Prime Factorization of 57792

Now multiplying the highest exponent prime factors to calculate the LCM of 57784 and 57792.

LCM(57784,57792) = 2⁶ × 31¹ × 233¹ × 3¹ × 7¹ × 43¹
LCM(57784,57792) = 417431616