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What is the Least Common Multiple of 68754 and 68771?

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 68754 and 68771 is 4728281334.

LCM(68754,68771) = 4728281334

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Least Common Multiple of 68754 and 68771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68754 and 68771, than apply into the LCM equation.

GCF(68754,68771) = 1
LCM(68754,68771) = ( 68754 × 68771) / 1
LCM(68754,68771) = 4728281334 / 1
LCM(68754,68771) = 4728281334

Least Common Multiple (LCM) of 68754 and 68771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68754 and 68771. First we will calculate the prime factors of 68754 and 68771.

Prime Factorization of 68754

Prime factors of 68754 are 2, 3, 7, 1637. Prime factorization of 68754 in exponential form is:

68754 = 21 × 31 × 71 × 16371

Prime Factorization of 68771

Prime factors of 68771 are 68771. Prime factorization of 68771 in exponential form is:

68771 = 687711

Now multiplying the highest exponent prime factors to calculate the LCM of 68754 and 68771.

LCM(68754,68771) = 21 × 31 × 71 × 16371 × 687711
LCM(68754,68771) = 4728281334