What is the Least Common Multiple of 88325 and 88343?

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 88325 and 88343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88325 and 88343, than apply into the LCM equation.

GCF(88325,88343) = 1
LCM(88325,88343) = ( 88325 × 88343) / 1
LCM(88325,88343) = 7802895475 / 1
LCM(88325,88343) = 7802895475

Least Common Multiple (LCM) of 88325 and 88343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88325 and 88343. First we will calculate the prime factors of 88325 and 88343.

Prime Factorization of 88325

Prime Factorization of 88343

Now multiplying the highest exponent prime factors to calculate the LCM of 88325 and 88343.

LCM(88325,88343) = 5² × 3533¹ × 23² × 167¹
LCM(88325,88343) = 7802895475