What is the Least Common Multiple of 88876 and 88894?

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 88876 and 88894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88876 and 88894, than apply into the LCM equation.

GCF(88876,88894) = 2
LCM(88876,88894) = ( 88876 × 88894) / 2
LCM(88876,88894) = 7900543144 / 2
LCM(88876,88894) = 3950271572

Least Common Multiple (LCM) of 88876 and 88894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88876 and 88894. First we will calculate the prime factors of 88876 and 88894.

Prime Factorization of 88876

Prime Factorization of 88894

Now multiplying the highest exponent prime factors to calculate the LCM of 88876 and 88894.

LCM(88876,88894) = 2² × 17¹ × 1307¹ × 13² × 263¹
LCM(88876,88894) = 3950271572