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What is the Least Common Multiple of 30219 and 30231?

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 30219 and 30231 is 304516863.

LCM(30219,30231) = 304516863

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Least Common Multiple of 30219 and 30231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30219 and 30231, than apply into the LCM equation.

GCF(30219,30231) = 3
LCM(30219,30231) = ( 30219 × 30231) / 3
LCM(30219,30231) = 913550589 / 3
LCM(30219,30231) = 304516863

Least Common Multiple (LCM) of 30219 and 30231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30219 and 30231. First we will calculate the prime factors of 30219 and 30231.

Prime Factorization of 30219

Prime factors of 30219 are 3, 7, 1439. Prime factorization of 30219 in exponential form is:

30219 = 31 × 71 × 14391

Prime Factorization of 30231

Prime factors of 30231 are 3, 3359. Prime factorization of 30231 in exponential form is:

30231 = 32 × 33591

Now multiplying the highest exponent prime factors to calculate the LCM of 30219 and 30231.

LCM(30219,30231) = 32 × 71 × 14391 × 33591
LCM(30219,30231) = 304516863