What is the Least Common Multiple of 88251 and 88259?

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 88251 and 88259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88251 and 88259, than apply into the LCM equation.

GCF(88251,88259) = 1
LCM(88251,88259) = ( 88251 × 88259) / 1
LCM(88251,88259) = 7788945009 / 1
LCM(88251,88259) = 7788945009

Least Common Multiple (LCM) of 88251 and 88259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88251 and 88259. First we will calculate the prime factors of 88251 and 88259.

Prime Factorization of 88251

Prime Factorization of 88259

Now multiplying the highest exponent prime factors to calculate the LCM of 88251 and 88259.

LCM(88251,88259) = 3¹ × 23¹ × 1279¹ × 88259¹
LCM(88251,88259) = 7788945009