What is the Least Common Multiple of 84889 and 84893?
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 84889 and 84893 is 7206481877.
LCM(84889,84893) = 7206481877
Least Common Multiple of 84889 and 84893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84889 and 84893, than apply into the LCM equation.
GCF(84889,84893) = 1
LCM(84889,84893) = ( 84889 × 84893) / 1
LCM(84889,84893) = 7206481877 / 1
LCM(84889,84893) = 7206481877
Least Common Multiple (LCM) of 84889 and 84893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84889 and 84893. First we will calculate the prime factors of 84889 and 84893.
Prime Factorization of 84889
Prime factors of 84889 are 7, 67, 181. Prime factorization of 84889 in exponential form is:
84889 = 71 × 671 × 1811
Prime Factorization of 84893
Prime factors of 84893 are 23, 3691. Prime factorization of 84893 in exponential form is:
84893 = 231 × 36911
Now multiplying the highest exponent prime factors to calculate the LCM of 84889 and 84893.
LCM(84889,84893) = 71 × 671 × 1811 × 231 × 36911
LCM(84889,84893) = 7206481877
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