What is the Least Common Multiple of 89384 and 89403?

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 89384 and 89403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89384 and 89403, than apply into the LCM equation.

GCF(89384,89403) = 1
LCM(89384,89403) = ( 89384 × 89403) / 1
LCM(89384,89403) = 7991197752 / 1
LCM(89384,89403) = 7991197752

Least Common Multiple (LCM) of 89384 and 89403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89384 and 89403. First we will calculate the prime factors of 89384 and 89403.

Prime Factorization of 89384

Prime Factorization of 89403

Now multiplying the highest exponent prime factors to calculate the LCM of 89384 and 89403.

LCM(89384,89403) = 2³ × 11173¹ × 3¹ × 17¹ × 1753¹
LCM(89384,89403) = 7991197752