What is the Least Common Multiple of 89508 and 89513?

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 89508 and 89513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89508 and 89513, than apply into the LCM equation.

GCF(89508,89513) = 1
LCM(89508,89513) = ( 89508 × 89513) / 1
LCM(89508,89513) = 8012129604 / 1
LCM(89508,89513) = 8012129604

Least Common Multiple (LCM) of 89508 and 89513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89508 and 89513. First we will calculate the prime factors of 89508 and 89513.

Prime Factorization of 89508

Prime Factorization of 89513

Now multiplying the highest exponent prime factors to calculate the LCM of 89508 and 89513.

LCM(89508,89513) = 2² × 3¹ × 7459¹ × 89513¹
LCM(89508,89513) = 8012129604