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What is the Least Common Multiple of 93030 and 93044?

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 93030 and 93044 is 618277380.

LCM(93030,93044) = 618277380

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Least Common Multiple of 93030 and 93044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93030 and 93044, than apply into the LCM equation.

GCF(93030,93044) = 14
LCM(93030,93044) = ( 93030 × 93044) / 14
LCM(93030,93044) = 8655883320 / 14
LCM(93030,93044) = 618277380

Least Common Multiple (LCM) of 93030 and 93044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93030 and 93044. First we will calculate the prime factors of 93030 and 93044.

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

Prime Factorization of 93044

Prime factors of 93044 are 2, 7, 3323. Prime factorization of 93044 in exponential form is:

93044 = 22 × 71 × 33231

Now multiplying the highest exponent prime factors to calculate the LCM of 93030 and 93044.

LCM(93030,93044) = 22 × 31 × 51 × 71 × 4431 × 33231
LCM(93030,93044) = 618277380