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What is the Least Common Multiple of 80211 and 80227?

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 (LCM) of 80211 and 80227 is 6435087897.

LCM(80211,80227) = 6435087897

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Least Common Multiple of 80211 and 80227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80211 and 80227, than apply into the LCM equation.

GCF(80211,80227) = 1
LCM(80211,80227) = ( 80211 × 80227) / 1
LCM(80211,80227) = 6435087897 / 1
LCM(80211,80227) = 6435087897

Least Common Multiple (LCM) of 80211 and 80227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80211 and 80227. First we will calculate the prime factors of 80211 and 80227.

Prime Factorization of 80211

Prime factors of 80211 are 3, 26737. Prime factorization of 80211 in exponential form is:

80211 = 31 × 267371

Prime Factorization of 80227

Prime factors of 80227 are 7, 73, 157. Prime factorization of 80227 in exponential form is:

80227 = 71 × 731 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 80211 and 80227.

LCM(80211,80227) = 31 × 267371 × 71 × 731 × 1571
LCM(80211,80227) = 6435087897