What is the Least Common Multiple of 56864 and 56882?

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 56864 and 56882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56864 and 56882, than apply into the LCM equation.

GCF(56864,56882) = 2
LCM(56864,56882) = ( 56864 × 56882) / 2
LCM(56864,56882) = 3234538048 / 2
LCM(56864,56882) = 1617269024

Least Common Multiple (LCM) of 56864 and 56882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56864 and 56882. First we will calculate the prime factors of 56864 and 56882.

Prime Factorization of 56864

Prime Factorization of 56882

Now multiplying the highest exponent prime factors to calculate the LCM of 56864 and 56882.

LCM(56864,56882) = 2⁵ × 1777¹ × 7¹ × 17¹ × 239¹
LCM(56864,56882) = 1617269024