What is the Least Common Multiple of 84831 and 84835?
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 84831 and 84835 is 7196637885.
LCM(84831,84835) = 7196637885
Least Common Multiple of 84831 and 84835 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84831 and 84835, than apply into the LCM equation.
GCF(84831,84835) = 1
LCM(84831,84835) = ( 84831 × 84835) / 1
LCM(84831,84835) = 7196637885 / 1
LCM(84831,84835) = 7196637885
Least Common Multiple (LCM) of 84831 and 84835 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84831 and 84835. First we will calculate the prime factors of 84831 and 84835.
Prime Factorization of 84831
Prime factors of 84831 are 3, 28277. Prime factorization of 84831 in exponential form is:
84831 = 31 × 282771
Prime Factorization of 84835
Prime factors of 84835 are 5, 19, 47. Prime factorization of 84835 in exponential form is:
84835 = 51 × 192 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 84831 and 84835.
LCM(84831,84835) = 31 × 282771 × 51 × 192 × 471
LCM(84831,84835) = 7196637885
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