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What is the Least Common Multiple of 67885 and 67896?

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 67885 and 67896 is 4609119960.

LCM(67885,67896) = 4609119960

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Least Common Multiple of 67885 and 67896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67885 and 67896, than apply into the LCM equation.

GCF(67885,67896) = 1
LCM(67885,67896) = ( 67885 × 67896) / 1
LCM(67885,67896) = 4609119960 / 1
LCM(67885,67896) = 4609119960

Least Common Multiple (LCM) of 67885 and 67896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67885 and 67896. First we will calculate the prime factors of 67885 and 67896.

Prime Factorization of 67885

Prime factors of 67885 are 5, 13577. Prime factorization of 67885 in exponential form is:

67885 = 51 × 135771

Prime Factorization of 67896

Prime factors of 67896 are 2, 3, 23, 41. Prime factorization of 67896 in exponential form is:

67896 = 23 × 32 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 67885 and 67896.

LCM(67885,67896) = 51 × 135771 × 23 × 32 × 231 × 411
LCM(67885,67896) = 4609119960