What is the Least Common Multiple of 55784 and 55804?

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 55784 and 55804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55784 and 55804, than apply into the LCM equation.

GCF(55784,55804) = 4
LCM(55784,55804) = ( 55784 × 55804) / 4
LCM(55784,55804) = 3112970336 / 4
LCM(55784,55804) = 778242584

Least Common Multiple (LCM) of 55784 and 55804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55784 and 55804. First we will calculate the prime factors of 55784 and 55804.

Prime Factorization of 55784

Prime Factorization of 55804

Now multiplying the highest exponent prime factors to calculate the LCM of 55784 and 55804.

LCM(55784,55804) = 2³ × 19¹ × 367¹ × 7¹ × 1993¹
LCM(55784,55804) = 778242584