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What is the Least Common Multiple of 93055 and 93063?

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 93055 and 93063 is 8659977465.

LCM(93055,93063) = 8659977465

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Least Common Multiple of 93055 and 93063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93055 and 93063, than apply into the LCM equation.

GCF(93055,93063) = 1
LCM(93055,93063) = ( 93055 × 93063) / 1
LCM(93055,93063) = 8659977465 / 1
LCM(93055,93063) = 8659977465

Least Common Multiple (LCM) of 93055 and 93063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93055 and 93063. First we will calculate the prime factors of 93055 and 93063.

Prime Factorization of 93055

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

93055 = 51 × 371 × 5031

Prime Factorization of 93063

Prime factors of 93063 are 3, 67, 463. Prime factorization of 93063 in exponential form is:

93063 = 31 × 671 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 93055 and 93063.

LCM(93055,93063) = 51 × 371 × 5031 × 31 × 671 × 4631
LCM(93055,93063) = 8659977465