What is the Least Common Multiple of 29867 and 29886?
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 29867 and 29886 is 892605162.
LCM(29867,29886) = 892605162
Least Common Multiple of 29867 and 29886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29867 and 29886, than apply into the LCM equation.
GCF(29867,29886) = 1
LCM(29867,29886) = ( 29867 × 29886) / 1
LCM(29867,29886) = 892605162 / 1
LCM(29867,29886) = 892605162
Least Common Multiple (LCM) of 29867 and 29886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29867 and 29886. First we will calculate the prime factors of 29867 and 29886.
Prime Factorization of 29867
Prime factors of 29867 are 29867. Prime factorization of 29867 in exponential form is:
29867 = 298671
Prime Factorization of 29886
Prime factors of 29886 are 2, 3, 17, 293. Prime factorization of 29886 in exponential form is:
29886 = 21 × 31 × 171 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 29867 and 29886.
LCM(29867,29886) = 298671 × 21 × 31 × 171 × 2931
LCM(29867,29886) = 892605162
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