What is the Least Common Multiple of 57792 and 57804?

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 57792 and 57804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57792 and 57804, than apply into the LCM equation.

GCF(57792,57804) = 12
LCM(57792,57804) = ( 57792 × 57804) / 12
LCM(57792,57804) = 3340608768 / 12
LCM(57792,57804) = 278384064

Least Common Multiple (LCM) of 57792 and 57804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57792 and 57804. First we will calculate the prime factors of 57792 and 57804.

Prime Factorization of 57792

Prime Factorization of 57804

Now multiplying the highest exponent prime factors to calculate the LCM of 57792 and 57804.

LCM(57792,57804) = 2⁶ × 3¹ × 7¹ × 43¹ × 4817¹
LCM(57792,57804) = 278384064