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What is the Least Common Multiple of 80213 and 80231?

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 80213 and 80231 is 6435569203.

LCM(80213,80231) = 6435569203

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Least Common Multiple of 80213 and 80231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80213 and 80231, than apply into the LCM equation.

GCF(80213,80231) = 1
LCM(80213,80231) = ( 80213 × 80231) / 1
LCM(80213,80231) = 6435569203 / 1
LCM(80213,80231) = 6435569203

Least Common Multiple (LCM) of 80213 and 80231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80213 and 80231. First we will calculate the prime factors of 80213 and 80231.

Prime Factorization of 80213

Prime factors of 80213 are 7, 1637. Prime factorization of 80213 in exponential form is:

80213 = 72 × 16371

Prime Factorization of 80231

Prime factors of 80231 are 80231. Prime factorization of 80231 in exponential form is:

80231 = 802311

Now multiplying the highest exponent prime factors to calculate the LCM of 80213 and 80231.

LCM(80213,80231) = 72 × 16371 × 802311
LCM(80213,80231) = 6435569203