What is the Least Common Multiple of 88205 and 88209?

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 88205 and 88209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88205 and 88209, than apply into the LCM equation.

GCF(88205,88209) = 1
LCM(88205,88209) = ( 88205 × 88209) / 1
LCM(88205,88209) = 7780474845 / 1
LCM(88205,88209) = 7780474845

Least Common Multiple (LCM) of 88205 and 88209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88205 and 88209. First we will calculate the prime factors of 88205 and 88209.

Prime Factorization of 88205

Prime Factorization of 88209

Now multiplying the highest exponent prime factors to calculate the LCM of 88205 and 88209.

LCM(88205,88209) = 5¹ × 13¹ × 23¹ × 59¹ × 3⁶ × 11²
LCM(88205,88209) = 7780474845