What is the Least Common Multiple of 55804 and 55822?

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 55804 and 55822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55804 and 55822, than apply into the LCM equation.

GCF(55804,55822) = 2
LCM(55804,55822) = ( 55804 × 55822) / 2
LCM(55804,55822) = 3115090888 / 2
LCM(55804,55822) = 1557545444

Least Common Multiple (LCM) of 55804 and 55822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55804 and 55822. First we will calculate the prime factors of 55804 and 55822.

Prime Factorization of 55804

Prime Factorization of 55822

Now multiplying the highest exponent prime factors to calculate the LCM of 55804 and 55822.

LCM(55804,55822) = 2² × 7¹ × 1993¹ × 13¹ × 19¹ × 113¹
LCM(55804,55822) = 1557545444