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What is the Least Common Multiple of 30181 and 30189?

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 30181 and 30189 is 911134209.

LCM(30181,30189) = 911134209

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Least Common Multiple of 30181 and 30189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30181 and 30189, than apply into the LCM equation.

GCF(30181,30189) = 1
LCM(30181,30189) = ( 30181 × 30189) / 1
LCM(30181,30189) = 911134209 / 1
LCM(30181,30189) = 911134209

Least Common Multiple (LCM) of 30181 and 30189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30181 and 30189. First we will calculate the prime factors of 30181 and 30189.

Prime Factorization of 30181

Prime factors of 30181 are 30181. Prime factorization of 30181 in exponential form is:

30181 = 301811

Prime Factorization of 30189

Prime factors of 30189 are 3, 29, 347. Prime factorization of 30189 in exponential form is:

30189 = 31 × 291 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 30181 and 30189.

LCM(30181,30189) = 301811 × 31 × 291 × 3471
LCM(30181,30189) = 911134209