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What is the Least Common Multiple of 67782 and 67794?

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 67782 and 67794 is 765868818.

LCM(67782,67794) = 765868818

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Least Common Multiple of 67782 and 67794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67782 and 67794, than apply into the LCM equation.

GCF(67782,67794) = 6
LCM(67782,67794) = ( 67782 × 67794) / 6
LCM(67782,67794) = 4595212908 / 6
LCM(67782,67794) = 765868818

Least Common Multiple (LCM) of 67782 and 67794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67782 and 67794. First we will calculate the prime factors of 67782 and 67794.

Prime Factorization of 67782

Prime factors of 67782 are 2, 3, 11, 13, 79. Prime factorization of 67782 in exponential form is:

67782 = 21 × 31 × 111 × 131 × 791

Prime Factorization of 67794

Prime factors of 67794 are 2, 3, 11299. Prime factorization of 67794 in exponential form is:

67794 = 21 × 31 × 112991

Now multiplying the highest exponent prime factors to calculate the LCM of 67782 and 67794.

LCM(67782,67794) = 21 × 31 × 111 × 131 × 791 × 112991
LCM(67782,67794) = 765868818