What is the Least Common Multiple of 84173 and 84193?
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 84173 and 84193 is 7086777389.
LCM(84173,84193) = 7086777389
Least Common Multiple of 84173 and 84193 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84173 and 84193, than apply into the LCM equation.
GCF(84173,84193) = 1
LCM(84173,84193) = ( 84173 × 84193) / 1
LCM(84173,84193) = 7086777389 / 1
LCM(84173,84193) = 7086777389
Least Common Multiple (LCM) of 84173 and 84193 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84173 and 84193. First we will calculate the prime factors of 84173 and 84193.
Prime Factorization of 84173
Prime factors of 84173 are 41, 2053. Prime factorization of 84173 in exponential form is:
84173 = 411 × 20531
Prime Factorization of 84193
Prime factors of 84193 are 59, 1427. Prime factorization of 84193 in exponential form is:
84193 = 591 × 14271
Now multiplying the highest exponent prime factors to calculate the LCM of 84173 and 84193.
LCM(84173,84193) = 411 × 20531 × 591 × 14271
LCM(84173,84193) = 7086777389
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