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What is the Least Common Multiple of 93543 and 93560?

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 93543 and 93560 is 8751883080.

LCM(93543,93560) = 8751883080

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Least Common Multiple of 93543 and 93560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93543 and 93560, than apply into the LCM equation.

GCF(93543,93560) = 1
LCM(93543,93560) = ( 93543 × 93560) / 1
LCM(93543,93560) = 8751883080 / 1
LCM(93543,93560) = 8751883080

Least Common Multiple (LCM) of 93543 and 93560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93543 and 93560. First we will calculate the prime factors of 93543 and 93560.

Prime Factorization of 93543

Prime factors of 93543 are 3, 31181. Prime factorization of 93543 in exponential form is:

93543 = 31 × 311811

Prime Factorization of 93560

Prime factors of 93560 are 2, 5, 2339. Prime factorization of 93560 in exponential form is:

93560 = 23 × 51 × 23391

Now multiplying the highest exponent prime factors to calculate the LCM of 93543 and 93560.

LCM(93543,93560) = 31 × 311811 × 23 × 51 × 23391
LCM(93543,93560) = 8751883080