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What is the Least Common Multiple of 93039 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 93039 and 93044 is 8656720716.

LCM(93039,93044) = 8656720716

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Least Common Multiple of 93039 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 93039 and 93044, than apply into the LCM equation.

GCF(93039,93044) = 1
LCM(93039,93044) = ( 93039 × 93044) / 1
LCM(93039,93044) = 8656720716 / 1
LCM(93039,93044) = 8656720716

Least Common Multiple (LCM) of 93039 and 93044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93039 and 93044. First we will calculate the prime factors of 93039 and 93044.

Prime Factorization of 93039

Prime factors of 93039 are 3, 31013. Prime factorization of 93039 in exponential form is:

93039 = 31 × 310131

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 93039 and 93044.

LCM(93039,93044) = 31 × 310131 × 22 × 71 × 33231
LCM(93039,93044) = 8656720716