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What is the Least Common Multiple of 67889 and 67902?

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 67889 and 67902 is 4609798878.

LCM(67889,67902) = 4609798878

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Least Common Multiple of 67889 and 67902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67889 and 67902, than apply into the LCM equation.

GCF(67889,67902) = 1
LCM(67889,67902) = ( 67889 × 67902) / 1
LCM(67889,67902) = 4609798878 / 1
LCM(67889,67902) = 4609798878

Least Common Multiple (LCM) of 67889 and 67902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67889 and 67902. First we will calculate the prime factors of 67889 and 67902.

Prime Factorization of 67889

Prime factors of 67889 are 29, 2341. Prime factorization of 67889 in exponential form is:

67889 = 291 × 23411

Prime Factorization of 67902

Prime factors of 67902 are 2, 3, 11317. Prime factorization of 67902 in exponential form is:

67902 = 21 × 31 × 113171

Now multiplying the highest exponent prime factors to calculate the LCM of 67889 and 67902.

LCM(67889,67902) = 291 × 23411 × 21 × 31 × 113171
LCM(67889,67902) = 4609798878