What is the Least Common Multiple of 88209 and 88224?

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 88224 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 88224, than apply into the LCM equation.

GCF(88209,88224) = 3
LCM(88209,88224) = ( 88209 × 88224) / 3
LCM(88209,88224) = 7782150816 / 3
LCM(88209,88224) = 2594050272

Least Common Multiple (LCM) of 88209 and 88224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88209 and 88224. First we will calculate the prime factors of 88209 and 88224.

Prime Factorization of 88209

Prime Factorization of 88224

Now multiplying the highest exponent prime factors to calculate the LCM of 88209 and 88224.

LCM(88209,88224) = 3⁶ × 11² × 2⁵ × 919¹
LCM(88209,88224) = 2594050272