What is the Least Common Multiple of 89523 and 89539?

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 89539 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 89539, than apply into the LCM equation.

GCF(89523,89539) = 1
LCM(89523,89539) = ( 89523 × 89539) / 1
LCM(89523,89539) = 8015799897 / 1
LCM(89523,89539) = 8015799897

Least Common Multiple (LCM) of 89523 and 89539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89523 and 89539. First we will calculate the prime factors of 89523 and 89539.

Prime Factorization of 89523

Prime Factorization of 89539

Now multiplying the highest exponent prime factors to calculate the LCM of 89523 and 89539.

LCM(89523,89539) = 3² × 7³ × 29¹ × 17¹ × 23¹ × 229¹
LCM(89523,89539) = 8015799897