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What is the Least Common Multiple of 30188 and 30207?

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 30188 and 30207 is 911888916.

LCM(30188,30207) = 911888916

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Least Common Multiple of 30188 and 30207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30188 and 30207, than apply into the LCM equation.

GCF(30188,30207) = 1
LCM(30188,30207) = ( 30188 × 30207) / 1
LCM(30188,30207) = 911888916 / 1
LCM(30188,30207) = 911888916

Least Common Multiple (LCM) of 30188 and 30207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30188 and 30207. First we will calculate the prime factors of 30188 and 30207.

Prime Factorization of 30188

Prime factors of 30188 are 2, 7547. Prime factorization of 30188 in exponential form is:

30188 = 22 × 75471

Prime Factorization of 30207

Prime factors of 30207 are 3, 10069. Prime factorization of 30207 in exponential form is:

30207 = 31 × 100691

Now multiplying the highest exponent prime factors to calculate the LCM of 30188 and 30207.

LCM(30188,30207) = 22 × 75471 × 31 × 100691
LCM(30188,30207) = 911888916