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What is the Least Common Multiple of 80206 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 (LCM) of 80206 and 80211 is 6433403466.

LCM(80206,80211) = 6433403466

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Least Common Multiple of 80206 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 80206 and 80211, than apply into the LCM equation.

GCF(80206,80211) = 1
LCM(80206,80211) = ( 80206 × 80211) / 1
LCM(80206,80211) = 6433403466 / 1
LCM(80206,80211) = 6433403466

Least Common Multiple (LCM) of 80206 and 80211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80206 and 80211. First we will calculate the prime factors of 80206 and 80211.

Prime Factorization of 80206

Prime factors of 80206 are 2, 7, 17, 337. Prime factorization of 80206 in exponential form is:

80206 = 21 × 71 × 171 × 3371

Prime Factorization of 80211

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

80211 = 31 × 267371

Now multiplying the highest exponent prime factors to calculate the LCM of 80206 and 80211.

LCM(80206,80211) = 21 × 71 × 171 × 3371 × 31 × 267371
LCM(80206,80211) = 6433403466