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What is the Least Common Multiple of 93011 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 93011 and 93030 is 8652813330.

LCM(93011,93030) = 8652813330

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Least Common Multiple of 93011 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 93011 and 93030, than apply into the LCM equation.

GCF(93011,93030) = 1
LCM(93011,93030) = ( 93011 × 93030) / 1
LCM(93011,93030) = 8652813330 / 1
LCM(93011,93030) = 8652813330

Least Common Multiple (LCM) of 93011 and 93030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93011 and 93030. First we will calculate the prime factors of 93011 and 93030.

Prime Factorization of 93011

Prime factors of 93011 are 281, 331. Prime factorization of 93011 in exponential form is:

93011 = 2811 × 3311

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 93011 and 93030.

LCM(93011,93030) = 2811 × 3311 × 21 × 31 × 51 × 71 × 4431
LCM(93011,93030) = 8652813330