What is the Least Common Multiple of 68867 and 68873?
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 68867 and 68873 is 4743076891.
LCM(68867,68873) = 4743076891
Least Common Multiple of 68867 and 68873 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68867 and 68873, than apply into the LCM equation.
GCF(68867,68873) = 1
LCM(68867,68873) = ( 68867 × 68873) / 1
LCM(68867,68873) = 4743076891 / 1
LCM(68867,68873) = 4743076891
Least Common Multiple (LCM) of 68867 and 68873 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68867 and 68873. First we will calculate the prime factors of 68867 and 68873.
Prime Factorization of 68867
Prime factors of 68867 are 17, 4051. Prime factorization of 68867 in exponential form is:
68867 = 171 × 40511
Prime Factorization of 68873
Prime factors of 68873 are 7, 9839. Prime factorization of 68873 in exponential form is:
68873 = 71 × 98391
Now multiplying the highest exponent prime factors to calculate the LCM of 68867 and 68873.
LCM(68867,68873) = 171 × 40511 × 71 × 98391
LCM(68867,68873) = 4743076891
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