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What is the Least Common Multiple of 30093 and 30110?

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 30093 and 30110 is 906100230.

LCM(30093,30110) = 906100230

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Least Common Multiple of 30093 and 30110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30093 and 30110, than apply into the LCM equation.

GCF(30093,30110) = 1
LCM(30093,30110) = ( 30093 × 30110) / 1
LCM(30093,30110) = 906100230 / 1
LCM(30093,30110) = 906100230

Least Common Multiple (LCM) of 30093 and 30110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30093 and 30110. First we will calculate the prime factors of 30093 and 30110.

Prime Factorization of 30093

Prime factors of 30093 are 3, 7, 1433. Prime factorization of 30093 in exponential form is:

30093 = 31 × 71 × 14331

Prime Factorization of 30110

Prime factors of 30110 are 2, 5, 3011. Prime factorization of 30110 in exponential form is:

30110 = 21 × 51 × 30111

Now multiplying the highest exponent prime factors to calculate the LCM of 30093 and 30110.

LCM(30093,30110) = 31 × 71 × 14331 × 21 × 51 × 30111
LCM(30093,30110) = 906100230