What is the Least Common Multiple of 84207 and 84227?
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 84207 and 84227 is 7092502989.
LCM(84207,84227) = 7092502989
Least Common Multiple of 84207 and 84227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84207 and 84227, than apply into the LCM equation.
GCF(84207,84227) = 1
LCM(84207,84227) = ( 84207 × 84227) / 1
LCM(84207,84227) = 7092502989 / 1
LCM(84207,84227) = 7092502989
Least Common Multiple (LCM) of 84207 and 84227 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84207 and 84227. First we will calculate the prime factors of 84207 and 84227.
Prime Factorization of 84207
Prime factors of 84207 are 3, 28069. Prime factorization of 84207 in exponential form is:
84207 = 31 × 280691
Prime Factorization of 84227
Prime factors of 84227 are 11, 13, 19, 31. Prime factorization of 84227 in exponential form is:
84227 = 111 × 131 × 191 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 84207 and 84227.
LCM(84207,84227) = 31 × 280691 × 111 × 131 × 191 × 311
LCM(84207,84227) = 7092502989
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