What is the Least Common Multiple of 84164 and 84183?
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 84164 and 84183 is 7085178012.
LCM(84164,84183) = 7085178012
Least Common Multiple of 84164 and 84183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84164 and 84183, than apply into the LCM equation.
GCF(84164,84183) = 1
LCM(84164,84183) = ( 84164 × 84183) / 1
LCM(84164,84183) = 7085178012 / 1
LCM(84164,84183) = 7085178012
Least Common Multiple (LCM) of 84164 and 84183 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84164 and 84183. First we will calculate the prime factors of 84164 and 84183.
Prime Factorization of 84164
Prime factors of 84164 are 2, 53, 397. Prime factorization of 84164 in exponential form is:
84164 = 22 × 531 × 3971
Prime Factorization of 84183
Prime factors of 84183 are 3, 11, 2551. Prime factorization of 84183 in exponential form is:
84183 = 31 × 111 × 25511
Now multiplying the highest exponent prime factors to calculate the LCM of 84164 and 84183.
LCM(84164,84183) = 22 × 531 × 3971 × 31 × 111 × 25511
LCM(84164,84183) = 7085178012
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