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What is the Least Common Multiple of 93439 and 93455?

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 93439 and 93455 is 8732341745.

LCM(93439,93455) = 8732341745

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Least Common Multiple of 93439 and 93455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93439 and 93455, than apply into the LCM equation.

GCF(93439,93455) = 1
LCM(93439,93455) = ( 93439 × 93455) / 1
LCM(93439,93455) = 8732341745 / 1
LCM(93439,93455) = 8732341745

Least Common Multiple (LCM) of 93439 and 93455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93439 and 93455. First we will calculate the prime factors of 93439 and 93455.

Prime Factorization of 93439

Prime factors of 93439 are 41, 43, 53. Prime factorization of 93439 in exponential form is:

93439 = 411 × 431 × 531

Prime Factorization of 93455

Prime factors of 93455 are 5, 18691. Prime factorization of 93455 in exponential form is:

93455 = 51 × 186911

Now multiplying the highest exponent prime factors to calculate the LCM of 93439 and 93455.

LCM(93439,93455) = 411 × 431 × 531 × 51 × 186911
LCM(93439,93455) = 8732341745