What is the Least Common Multiple of 56256 and 56276?

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 56256 and 56276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56256 and 56276, than apply into the LCM equation.

GCF(56256,56276) = 4
LCM(56256,56276) = ( 56256 × 56276) / 4
LCM(56256,56276) = 3165862656 / 4
LCM(56256,56276) = 791465664

Least Common Multiple (LCM) of 56256 and 56276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56256 and 56276. First we will calculate the prime factors of 56256 and 56276.

Prime Factorization of 56256

Prime Factorization of 56276

Now multiplying the highest exponent prime factors to calculate the LCM of 56256 and 56276.

LCM(56256,56276) = 2⁶ × 3¹ × 293¹ × 11¹ × 1279¹
LCM(56256,56276) = 791465664