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What is the Least Common Multiple of 68754 and 68761?

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 68761 is 675370542.

LCM(68754,68761) = 675370542

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Least Common Multiple of 68754 and 68761 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 68761, than apply into the LCM equation.

GCF(68754,68761) = 7
LCM(68754,68761) = ( 68754 × 68761) / 7
LCM(68754,68761) = 4727593794 / 7
LCM(68754,68761) = 675370542

Least Common Multiple (LCM) of 68754 and 68761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68754 and 68761. First we will calculate the prime factors of 68754 and 68761.

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 68761

Prime factors of 68761 are 7, 11, 19, 47. Prime factorization of 68761 in exponential form is:

68761 = 71 × 111 × 191 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 68754 and 68761.

LCM(68754,68761) = 21 × 31 × 71 × 16371 × 111 × 191 × 471
LCM(68754,68761) = 675370542