What is the Least Common Multiple of 56296 and 56306?

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 56296 and 56306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56296 and 56306, than apply into the LCM equation.

GCF(56296,56306) = 2
LCM(56296,56306) = ( 56296 × 56306) / 2
LCM(56296,56306) = 3169802576 / 2
LCM(56296,56306) = 1584901288

Least Common Multiple (LCM) of 56296 and 56306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56296 and 56306. First we will calculate the prime factors of 56296 and 56306.

Prime Factorization of 56296

Prime Factorization of 56306

Now multiplying the highest exponent prime factors to calculate the LCM of 56296 and 56306.

LCM(56296,56306) = 2³ × 31¹ × 227¹ × 47¹ × 599¹
LCM(56296,56306) = 1584901288