What is the Least Common Multiple of 87275 and 87289?

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 87275 and 87289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87275 and 87289, than apply into the LCM equation.

GCF(87275,87289) = 1
LCM(87275,87289) = ( 87275 × 87289) / 1
LCM(87275,87289) = 7618147475 / 1
LCM(87275,87289) = 7618147475

Least Common Multiple (LCM) of 87275 and 87289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87275 and 87289. First we will calculate the prime factors of 87275 and 87289.

Prime Factorization of 87275

Prime Factorization of 87289

Now multiplying the highest exponent prime factors to calculate the LCM of 87275 and 87289.

LCM(87275,87289) = 5² × 3491¹ × 41¹ × 2129¹
LCM(87275,87289) = 7618147475