What is the Least Common Multiple of 88096 and 88102?

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 88102 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 88102, than apply into the LCM equation.

GCF(88096,88102) = 2
LCM(88096,88102) = ( 88096 × 88102) / 2
LCM(88096,88102) = 7761433792 / 2
LCM(88096,88102) = 3880716896

Least Common Multiple (LCM) of 88096 and 88102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88096 and 88102. First we will calculate the prime factors of 88096 and 88102.

Prime Factorization of 88096

Prime Factorization of 88102

Now multiplying the highest exponent prime factors to calculate the LCM of 88096 and 88102.

LCM(88096,88102) = 2⁵ × 2753¹ × 7² × 29¹ × 31¹
LCM(88096,88102) = 3880716896