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What is the Least Common Multiple of 93018 and 93030?

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 93018 and 93030 is 1442244090.

LCM(93018,93030) = 1442244090

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Least Common Multiple of 93018 and 93030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93018 and 93030, than apply into the LCM equation.

GCF(93018,93030) = 6
LCM(93018,93030) = ( 93018 × 93030) / 6
LCM(93018,93030) = 8653464540 / 6
LCM(93018,93030) = 1442244090

Least Common Multiple (LCM) of 93018 and 93030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93018 and 93030. First we will calculate the prime factors of 93018 and 93030.

Prime Factorization of 93018

Prime factors of 93018 are 2, 3, 37, 419. Prime factorization of 93018 in exponential form is:

93018 = 21 × 31 × 371 × 4191

Prime Factorization of 93030

Prime factors of 93030 are 2, 3, 5, 7, 443. Prime factorization of 93030 in exponential form is:

93030 = 21 × 31 × 51 × 71 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 93018 and 93030.

LCM(93018,93030) = 21 × 31 × 371 × 4191 × 51 × 71 × 4431
LCM(93018,93030) = 1442244090