What is the Least Common Multiple of 82195 and 82209?

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 82195 and 82209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82195 and 82209, than apply into the LCM equation.

GCF(82195,82209) = 1
LCM(82195,82209) = ( 82195 × 82209) / 1
LCM(82195,82209) = 6757168755 / 1
LCM(82195,82209) = 6757168755

Least Common Multiple (LCM) of 82195 and 82209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82195 and 82209. First we will calculate the prime factors of 82195 and 82209.

Prime Factorization of 82195

Prime Factorization of 82209

Now multiplying the highest exponent prime factors to calculate the LCM of 82195 and 82209.

LCM(82195,82209) = 5¹ × 17¹ × 967¹ × 3¹ × 67¹ × 409¹
LCM(82195,82209) = 6757168755