What is the Least Common Multiple of 56278 and 56296?

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 56278 and 56296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56278 and 56296, than apply into the LCM equation.

GCF(56278,56296) = 2
LCM(56278,56296) = ( 56278 × 56296) / 2
LCM(56278,56296) = 3168226288 / 2
LCM(56278,56296) = 1584113144

Least Common Multiple (LCM) of 56278 and 56296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56278 and 56296. First we will calculate the prime factors of 56278 and 56296.

Prime Factorization of 56278

Prime Factorization of 56296

Now multiplying the highest exponent prime factors to calculate the LCM of 56278 and 56296.

LCM(56278,56296) = 2³ × 19¹ × 1481¹ × 31¹ × 227¹
LCM(56278,56296) = 1584113144