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What is the Least Common Multiple of 67893 and 67905?

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 67893 and 67905 is 1536758055.

LCM(67893,67905) = 1536758055

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Least Common Multiple of 67893 and 67905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67893 and 67905, than apply into the LCM equation.

GCF(67893,67905) = 3
LCM(67893,67905) = ( 67893 × 67905) / 3
LCM(67893,67905) = 4610274165 / 3
LCM(67893,67905) = 1536758055

Least Common Multiple (LCM) of 67893 and 67905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67893 and 67905. First we will calculate the prime factors of 67893 and 67905.

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

Prime Factorization of 67905

Prime factors of 67905 are 3, 5, 503. Prime factorization of 67905 in exponential form is:

67905 = 33 × 51 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 67893 and 67905.

LCM(67893,67905) = 33 × 71 × 531 × 611 × 51 × 5031
LCM(67893,67905) = 1536758055