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What is the Least Common Multiple of 93543 and 93551?

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 93551 is 8751041193.

LCM(93543,93551) = 8751041193

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Least Common Multiple of 93543 and 93551 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 93551, than apply into the LCM equation.

GCF(93543,93551) = 1
LCM(93543,93551) = ( 93543 × 93551) / 1
LCM(93543,93551) = 8751041193 / 1
LCM(93543,93551) = 8751041193

Least Common Multiple (LCM) of 93543 and 93551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93543 and 93551. First we will calculate the prime factors of 93543 and 93551.

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 93551

Prime factors of 93551 are 17, 5503. Prime factorization of 93551 in exponential form is:

93551 = 171 × 55031

Now multiplying the highest exponent prime factors to calculate the LCM of 93543 and 93551.

LCM(93543,93551) = 31 × 311811 × 171 × 55031
LCM(93543,93551) = 8751041193