What is the Least Common Multiple of 89876 and 89883?

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 89876 and 89883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89876 and 89883, than apply into the LCM equation.

GCF(89876,89883) = 1
LCM(89876,89883) = ( 89876 × 89883) / 1
LCM(89876,89883) = 8078324508 / 1
LCM(89876,89883) = 8078324508

Least Common Multiple (LCM) of 89876 and 89883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89876 and 89883. First we will calculate the prime factors of 89876 and 89883.

Prime Factorization of 89876

Prime Factorization of 89883

Now multiplying the highest exponent prime factors to calculate the LCM of 89876 and 89883.

LCM(89876,89883) = 2² × 22469¹ × 3³ × 3329¹
LCM(89876,89883) = 8078324508