What is the Least Common Multiple of 88275 and 88279?

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 88279 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 88279, than apply into the LCM equation.

GCF(88275,88279) = 1
LCM(88275,88279) = ( 88275 × 88279) / 1
LCM(88275,88279) = 7792828725 / 1
LCM(88275,88279) = 7792828725

Least Common Multiple (LCM) of 88275 and 88279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88275 and 88279. First we will calculate the prime factors of 88275 and 88279.

Prime Factorization of 88275

Prime Factorization of 88279

Now multiplying the highest exponent prime factors to calculate the LCM of 88275 and 88279.

LCM(88275,88279) = 3¹ × 5² × 11¹ × 107¹ × 43¹ × 2053¹
LCM(88275,88279) = 7792828725