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What is the Least Common Multiple of 68873 and 68880?

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 68873 and 68880 is 677710320.

LCM(68873,68880) = 677710320

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Least Common Multiple of 68873 and 68880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68873 and 68880, than apply into the LCM equation.

GCF(68873,68880) = 7
LCM(68873,68880) = ( 68873 × 68880) / 7
LCM(68873,68880) = 4743972240 / 7
LCM(68873,68880) = 677710320

Least Common Multiple (LCM) of 68873 and 68880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68873 and 68880. First we will calculate the prime factors of 68873 and 68880.

Prime Factorization of 68873

Prime factors of 68873 are 7, 9839. Prime factorization of 68873 in exponential form is:

68873 = 71 × 98391

Prime Factorization of 68880

Prime factors of 68880 are 2, 3, 5, 7, 41. Prime factorization of 68880 in exponential form is:

68880 = 24 × 31 × 51 × 71 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 68873 and 68880.

LCM(68873,68880) = 71 × 98391 × 24 × 31 × 51 × 411
LCM(68873,68880) = 677710320