What is the Least Common Multiple of 84275 and 84279?
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 84275 and 84279 is 7102612725.
LCM(84275,84279) = 7102612725
Least Common Multiple of 84275 and 84279 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84275 and 84279, than apply into the LCM equation.
GCF(84275,84279) = 1
LCM(84275,84279) = ( 84275 × 84279) / 1
LCM(84275,84279) = 7102612725 / 1
LCM(84275,84279) = 7102612725
Least Common Multiple (LCM) of 84275 and 84279 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84275 and 84279. First we will calculate the prime factors of 84275 and 84279.
Prime Factorization of 84275
Prime factors of 84275 are 5, 3371. Prime factorization of 84275 in exponential form is:
84275 = 52 × 33711
Prime Factorization of 84279
Prime factors of 84279 are 3, 13, 2161. Prime factorization of 84279 in exponential form is:
84279 = 31 × 131 × 21611
Now multiplying the highest exponent prime factors to calculate the LCM of 84275 and 84279.
LCM(84275,84279) = 52 × 33711 × 31 × 131 × 21611
LCM(84275,84279) = 7102612725
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