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What is the Least Common Multiple of 30289 and 30301?

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 30289 and 30301 is 917786989.

LCM(30289,30301) = 917786989

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Least Common Multiple of 30289 and 30301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30289 and 30301, than apply into the LCM equation.

GCF(30289,30301) = 1
LCM(30289,30301) = ( 30289 × 30301) / 1
LCM(30289,30301) = 917786989 / 1
LCM(30289,30301) = 917786989

Least Common Multiple (LCM) of 30289 and 30301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30289 and 30301. First we will calculate the prime factors of 30289 and 30301.

Prime Factorization of 30289

Prime factors of 30289 are 7, 4327. Prime factorization of 30289 in exponential form is:

30289 = 71 × 43271

Prime Factorization of 30301

Prime factors of 30301 are 157, 193. Prime factorization of 30301 in exponential form is:

30301 = 1571 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 30289 and 30301.

LCM(30289,30301) = 71 × 43271 × 1571 × 1931
LCM(30289,30301) = 917786989