What is the Least Common Multiple of 56284 and 56290?

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 56284 and 56290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56284 and 56290, than apply into the LCM equation.

GCF(56284,56290) = 2
LCM(56284,56290) = ( 56284 × 56290) / 2
LCM(56284,56290) = 3168226360 / 2
LCM(56284,56290) = 1584113180

Least Common Multiple (LCM) of 56284 and 56290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56284 and 56290. First we will calculate the prime factors of 56284 and 56290.

Prime Factorization of 56284

Prime Factorization of 56290

Now multiplying the highest exponent prime factors to calculate the LCM of 56284 and 56290.

LCM(56284,56290) = 2² × 14071¹ × 5¹ × 13¹ × 433¹
LCM(56284,56290) = 1584113180