What is the Least Common Multiple of 88275 and 88291?

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 88275 and 88291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88275 and 88291, than apply into the LCM equation.

GCF(88275,88291) = 1
LCM(88275,88291) = ( 88275 × 88291) / 1
LCM(88275,88291) = 7793888025 / 1
LCM(88275,88291) = 7793888025

Least Common Multiple (LCM) of 88275 and 88291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88275 and 88291. First we will calculate the prime factors of 88275 and 88291.

Prime Factorization of 88275

Prime Factorization of 88291

Now multiplying the highest exponent prime factors to calculate the LCM of 88275 and 88291.

LCM(88275,88291) = 3¹ × 5² × 11¹ × 107¹ × 7¹ × 12613¹
LCM(88275,88291) = 7793888025