What is the Least Common Multiple of 88275 and 88284?

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 88284 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 88284, than apply into the LCM equation.

GCF(88275,88284) = 3
LCM(88275,88284) = ( 88275 × 88284) / 3
LCM(88275,88284) = 7793270100 / 3
LCM(88275,88284) = 2597756700

Least Common Multiple (LCM) of 88275 and 88284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88275 and 88284. First we will calculate the prime factors of 88275 and 88284.

Prime Factorization of 88275

Prime Factorization of 88284

Now multiplying the highest exponent prime factors to calculate the LCM of 88275 and 88284.

LCM(88275,88284) = 3¹ × 5² × 11¹ × 107¹ × 2² × 7¹ × 1051¹
LCM(88275,88284) = 2597756700