What is the Least Common Multiple of 89205 and 89209?

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 89205 and 89209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89205 and 89209, than apply into the LCM equation.

GCF(89205,89209) = 1
LCM(89205,89209) = ( 89205 × 89209) / 1
LCM(89205,89209) = 7957888845 / 1
LCM(89205,89209) = 7957888845

Least Common Multiple (LCM) of 89205 and 89209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89205 and 89209. First we will calculate the prime factors of 89205 and 89209.

Prime Factorization of 89205

Prime Factorization of 89209

Now multiplying the highest exponent prime factors to calculate the LCM of 89205 and 89209.

LCM(89205,89209) = 3¹ × 5¹ × 19¹ × 313¹ × 89209¹
LCM(89205,89209) = 7957888845