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What is the Least Common Multiple of 93544 and 93559?

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 93544 and 93559 is 8751883096.

LCM(93544,93559) = 8751883096

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Least Common Multiple of 93544 and 93559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93544 and 93559, than apply into the LCM equation.

GCF(93544,93559) = 1
LCM(93544,93559) = ( 93544 × 93559) / 1
LCM(93544,93559) = 8751883096 / 1
LCM(93544,93559) = 8751883096

Least Common Multiple (LCM) of 93544 and 93559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93544 and 93559. First we will calculate the prime factors of 93544 and 93559.

Prime Factorization of 93544

Prime factors of 93544 are 2, 11, 1063. Prime factorization of 93544 in exponential form is:

93544 = 23 × 111 × 10631

Prime Factorization of 93559

Prime factors of 93559 are 93559. Prime factorization of 93559 in exponential form is:

93559 = 935591

Now multiplying the highest exponent prime factors to calculate the LCM of 93544 and 93559.

LCM(93544,93559) = 23 × 111 × 10631 × 935591
LCM(93544,93559) = 8751883096