What is the Least Common Multiple of 89523 and 89529?

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 89523 and 89529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89523 and 89529, than apply into the LCM equation.

GCF(89523,89529) = 3
LCM(89523,89529) = ( 89523 × 89529) / 3
LCM(89523,89529) = 8014904667 / 3
LCM(89523,89529) = 2671634889

Least Common Multiple (LCM) of 89523 and 89529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89523 and 89529. First we will calculate the prime factors of 89523 and 89529.

Prime Factorization of 89523

Prime Factorization of 89529

Now multiplying the highest exponent prime factors to calculate the LCM of 89523 and 89529.

LCM(89523,89529) = 3² × 7³ × 29¹ × 11¹ × 2713¹
LCM(89523,89529) = 2671634889