What is the Least Common Multiple of 88225 and 88232?

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 88225 and 88232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88225 and 88232, than apply into the LCM equation.

GCF(88225,88232) = 1
LCM(88225,88232) = ( 88225 × 88232) / 1
LCM(88225,88232) = 7784268200 / 1
LCM(88225,88232) = 7784268200

Least Common Multiple (LCM) of 88225 and 88232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88225 and 88232. First we will calculate the prime factors of 88225 and 88232.

Prime Factorization of 88225

Prime Factorization of 88232

Now multiplying the highest exponent prime factors to calculate the LCM of 88225 and 88232.

LCM(88225,88232) = 5² × 3529¹ × 2³ × 41¹ × 269¹
LCM(88225,88232) = 7784268200