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What is the Least Common Multiple of 67543 and 67556?

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 67543 and 67556 is 4562934908.

LCM(67543,67556) = 4562934908

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Least Common Multiple of 67543 and 67556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67543 and 67556, than apply into the LCM equation.

GCF(67543,67556) = 1
LCM(67543,67556) = ( 67543 × 67556) / 1
LCM(67543,67556) = 4562934908 / 1
LCM(67543,67556) = 4562934908

Least Common Multiple (LCM) of 67543 and 67556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67543 and 67556. First we will calculate the prime factors of 67543 and 67556.

Prime Factorization of 67543

Prime factors of 67543 are 7, 9649. Prime factorization of 67543 in exponential form is:

67543 = 71 × 96491

Prime Factorization of 67556

Prime factors of 67556 are 2, 16889. Prime factorization of 67556 in exponential form is:

67556 = 22 × 168891

Now multiplying the highest exponent prime factors to calculate the LCM of 67543 and 67556.

LCM(67543,67556) = 71 × 96491 × 22 × 168891
LCM(67543,67556) = 4562934908