What is the Least Common Multiple of 84422 and 84442?
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 84422 and 84442 is 3564381262.
LCM(84422,84442) = 3564381262
Least Common Multiple of 84422 and 84442 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84422 and 84442, than apply into the LCM equation.
GCF(84422,84442) = 2
LCM(84422,84442) = ( 84422 × 84442) / 2
LCM(84422,84442) = 7128762524 / 2
LCM(84422,84442) = 3564381262
Least Common Multiple (LCM) of 84422 and 84442 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84422 and 84442. First we will calculate the prime factors of 84422 and 84442.
Prime Factorization of 84422
Prime factors of 84422 are 2, 13, 17, 191. Prime factorization of 84422 in exponential form is:
84422 = 21 × 131 × 171 × 1911
Prime Factorization of 84442
Prime factors of 84442 are 2, 42221. Prime factorization of 84442 in exponential form is:
84442 = 21 × 422211
Now multiplying the highest exponent prime factors to calculate the LCM of 84422 and 84442.
LCM(84422,84442) = 21 × 131 × 171 × 1911 × 422211
LCM(84422,84442) = 3564381262
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