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What is the Least Common Multiple of 93042 and 93055?

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 93042 and 93055 is 8658023310.

LCM(93042,93055) = 8658023310

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Least Common Multiple of 93042 and 93055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93042 and 93055, than apply into the LCM equation.

GCF(93042,93055) = 1
LCM(93042,93055) = ( 93042 × 93055) / 1
LCM(93042,93055) = 8658023310 / 1
LCM(93042,93055) = 8658023310

Least Common Multiple (LCM) of 93042 and 93055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93042 and 93055. First we will calculate the prime factors of 93042 and 93055.

Prime Factorization of 93042

Prime factors of 93042 are 2, 3, 1723. Prime factorization of 93042 in exponential form is:

93042 = 21 × 33 × 17231

Prime Factorization of 93055

Prime factors of 93055 are 5, 37, 503. Prime factorization of 93055 in exponential form is:

93055 = 51 × 371 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 93042 and 93055.

LCM(93042,93055) = 21 × 33 × 17231 × 51 × 371 × 5031
LCM(93042,93055) = 8658023310