What is the Least Common Multiple of 80205 and 80211?

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 80205 and 80211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80205 and 80211, than apply into the LCM equation.

GCF(80205,80211) = 3
LCM(80205,80211) = ( 80205 × 80211) / 3
LCM(80205,80211) = 6433323255 / 3
LCM(80205,80211) = 2144441085

Least Common Multiple (LCM) of 80205 and 80211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80205 and 80211. First we will calculate the prime factors of 80205 and 80211.

Prime Factorization of 80205

Prime Factorization of 80211

Now multiplying the highest exponent prime factors to calculate the LCM of 80205 and 80211.

LCM(80205,80211) = 3¹ × 5¹ × 5347¹ × 26737¹
LCM(80205,80211) = 2144441085