What is the Least Common Multiple of 89332 and 89343?

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 89332 and 89343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89332 and 89343, than apply into the LCM equation.

GCF(89332,89343) = 1
LCM(89332,89343) = ( 89332 × 89343) / 1
LCM(89332,89343) = 7981188876 / 1
LCM(89332,89343) = 7981188876

Least Common Multiple (LCM) of 89332 and 89343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89332 and 89343. First we will calculate the prime factors of 89332 and 89343.

Prime Factorization of 89332

Prime Factorization of 89343

Now multiplying the highest exponent prime factors to calculate the LCM of 89332 and 89343.

LCM(89332,89343) = 2² × 23¹ × 971¹ × 3⁴ × 1103¹
LCM(89332,89343) = 7981188876