What is the Least Common Multiple of 88000 and 88008?

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 88000 and 88008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88000 and 88008, than apply into the LCM equation.

GCF(88000,88008) = 8
LCM(88000,88008) = ( 88000 × 88008) / 8
LCM(88000,88008) = 7744704000 / 8
LCM(88000,88008) = 968088000

Least Common Multiple (LCM) of 88000 and 88008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88000 and 88008. First we will calculate the prime factors of 88000 and 88008.

Prime Factorization of 88000

Prime Factorization of 88008

Now multiplying the highest exponent prime factors to calculate the LCM of 88000 and 88008.

LCM(88000,88008) = 2⁶ × 5³ × 11¹ × 3¹ × 19¹ × 193¹
LCM(88000,88008) = 968088000