What is the Least Common Multiple of 32876 and 32896?

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 32876 and 32896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32876 and 32896, than apply into the LCM equation.

GCF(32876,32896) = 4
LCM(32876,32896) = ( 32876 × 32896) / 4
LCM(32876,32896) = 1081488896 / 4
LCM(32876,32896) = 270372224

Least Common Multiple (LCM) of 32876 and 32896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32876 and 32896. First we will calculate the prime factors of 32876 and 32896.

Prime Factorization of 32876

Prime Factorization of 32896

Now multiplying the highest exponent prime factors to calculate the LCM of 32876 and 32896.

LCM(32876,32896) = 2⁷ × 8219¹ × 257¹
LCM(32876,32896) = 270372224