What is the Least Common Multiple of 84322 and 84327?
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 84322 and 84327 is 7110621294.
LCM(84322,84327) = 7110621294
Least Common Multiple of 84322 and 84327 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84322 and 84327, than apply into the LCM equation.
GCF(84322,84327) = 1
LCM(84322,84327) = ( 84322 × 84327) / 1
LCM(84322,84327) = 7110621294 / 1
LCM(84322,84327) = 7110621294
Least Common Multiple (LCM) of 84322 and 84327 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84322 and 84327. First we will calculate the prime factors of 84322 and 84327.
Prime Factorization of 84322
Prime factors of 84322 are 2, 7, 19, 317. Prime factorization of 84322 in exponential form is:
84322 = 21 × 71 × 191 × 3171
Prime Factorization of 84327
Prime factors of 84327 are 3, 28109. Prime factorization of 84327 in exponential form is:
84327 = 31 × 281091
Now multiplying the highest exponent prime factors to calculate the LCM of 84322 and 84327.
LCM(84322,84327) = 21 × 71 × 191 × 3171 × 31 × 281091
LCM(84322,84327) = 7110621294
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