What is the Least Common Multiple of 88209 and 88217?

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 88209 and 88217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88209 and 88217, than apply into the LCM equation.

GCF(88209,88217) = 1
LCM(88209,88217) = ( 88209 × 88217) / 1
LCM(88209,88217) = 7781533353 / 1
LCM(88209,88217) = 7781533353

Least Common Multiple (LCM) of 88209 and 88217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88209 and 88217. First we will calculate the prime factors of 88209 and 88217.

Prime Factorization of 88209

Prime Factorization of 88217

Now multiplying the highest exponent prime factors to calculate the LCM of 88209 and 88217.

LCM(88209,88217) = 3⁶ × 11² × 19¹ × 4643¹
LCM(88209,88217) = 7781533353