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What is the Least Common Multiple of 67881 and 67893?

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 67881 and 67893 is 1536214911.

LCM(67881,67893) = 1536214911

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Least Common Multiple of 67881 and 67893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67881 and 67893, than apply into the LCM equation.

GCF(67881,67893) = 3
LCM(67881,67893) = ( 67881 × 67893) / 3
LCM(67881,67893) = 4608644733 / 3
LCM(67881,67893) = 1536214911

Least Common Multiple (LCM) of 67881 and 67893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67881 and 67893. First we will calculate the prime factors of 67881 and 67893.

Prime Factorization of 67881

Prime factors of 67881 are 3, 11, 17. Prime factorization of 67881 in exponential form is:

67881 = 31 × 113 × 171

Prime Factorization of 67893

Prime factors of 67893 are 3, 7, 53, 61. Prime factorization of 67893 in exponential form is:

67893 = 31 × 71 × 531 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 67881 and 67893.

LCM(67881,67893) = 31 × 113 × 171 × 71 × 531 × 611
LCM(67881,67893) = 1536214911