What is the Least Common Multiple of 88096 and 88103?

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 88096 and 88103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88096 and 88103, than apply into the LCM equation.

GCF(88096,88103) = 1
LCM(88096,88103) = ( 88096 × 88103) / 1
LCM(88096,88103) = 7761521888 / 1
LCM(88096,88103) = 7761521888

Least Common Multiple (LCM) of 88096 and 88103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88096 and 88103. First we will calculate the prime factors of 88096 and 88103.

Prime Factorization of 88096

Prime Factorization of 88103

Now multiplying the highest exponent prime factors to calculate the LCM of 88096 and 88103.

LCM(88096,88103) = 2⁵ × 2753¹ × 19¹ × 4637¹
LCM(88096,88103) = 7761521888