What is the Least Common Multiple of 56864 and 56871?

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 56871 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 56871, than apply into the LCM equation.

GCF(56864,56871) = 1
LCM(56864,56871) = ( 56864 × 56871) / 1
LCM(56864,56871) = 3233912544 / 1
LCM(56864,56871) = 3233912544

Least Common Multiple (LCM) of 56864 and 56871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56864 and 56871. First we will calculate the prime factors of 56864 and 56871.

Prime Factorization of 56864

Prime Factorization of 56871

Now multiplying the highest exponent prime factors to calculate the LCM of 56864 and 56871.

LCM(56864,56871) = 2⁵ × 1777¹ × 3² × 71¹ × 89¹
LCM(56864,56871) = 3233912544