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What is the Least Common Multiple of 67859 and 67866?

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 67859 and 67866 is 4605318894.

LCM(67859,67866) = 4605318894

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Least Common Multiple of 67859 and 67866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67859 and 67866, than apply into the LCM equation.

GCF(67859,67866) = 1
LCM(67859,67866) = ( 67859 × 67866) / 1
LCM(67859,67866) = 4605318894 / 1
LCM(67859,67866) = 4605318894

Least Common Multiple (LCM) of 67859 and 67866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67859 and 67866. First we will calculate the prime factors of 67859 and 67866.

Prime Factorization of 67859

Prime factors of 67859 are 11, 31, 199. Prime factorization of 67859 in exponential form is:

67859 = 111 × 311 × 1991

Prime Factorization of 67866

Prime factors of 67866 are 2, 3, 11311. Prime factorization of 67866 in exponential form is:

67866 = 21 × 31 × 113111

Now multiplying the highest exponent prime factors to calculate the LCM of 67859 and 67866.

LCM(67859,67866) = 111 × 311 × 1991 × 21 × 31 × 113111
LCM(67859,67866) = 4605318894