What is the Least Common Multiple of 88102 and 88108?

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 88102 and 88108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88102 and 88108, than apply into the LCM equation.

GCF(88102,88108) = 2
LCM(88102,88108) = ( 88102 × 88108) / 2
LCM(88102,88108) = 7762491016 / 2
LCM(88102,88108) = 3881245508

Least Common Multiple (LCM) of 88102 and 88108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88102 and 88108. First we will calculate the prime factors of 88102 and 88108.

Prime Factorization of 88102

Prime Factorization of 88108

Now multiplying the highest exponent prime factors to calculate the LCM of 88102 and 88108.

LCM(88102,88108) = 2² × 7² × 29¹ × 31¹ × 22027¹
LCM(88102,88108) = 3881245508