What is the Least Common Multiple of 84211 and 84226?
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 84211 and 84226 is 7092755686.
LCM(84211,84226) = 7092755686
Least Common Multiple of 84211 and 84226 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84211 and 84226, than apply into the LCM equation.
GCF(84211,84226) = 1
LCM(84211,84226) = ( 84211 × 84226) / 1
LCM(84211,84226) = 7092755686 / 1
LCM(84211,84226) = 7092755686
Least Common Multiple (LCM) of 84211 and 84226 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84211 and 84226. First we will calculate the prime factors of 84211 and 84226.
Prime Factorization of 84211
Prime factors of 84211 are 84211. Prime factorization of 84211 in exponential form is:
84211 = 842111
Prime Factorization of 84226
Prime factors of 84226 are 2, 23, 1831. Prime factorization of 84226 in exponential form is:
84226 = 21 × 231 × 18311
Now multiplying the highest exponent prime factors to calculate the LCM of 84211 and 84226.
LCM(84211,84226) = 842111 × 21 × 231 × 18311
LCM(84211,84226) = 7092755686
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