What is the Least Common Multiple of 84557 and 84573?
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 84557 and 84573 is 7151239161.
LCM(84557,84573) = 7151239161
Least Common Multiple of 84557 and 84573 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84557 and 84573, than apply into the LCM equation.
GCF(84557,84573) = 1
LCM(84557,84573) = ( 84557 × 84573) / 1
LCM(84557,84573) = 7151239161 / 1
LCM(84557,84573) = 7151239161
Least Common Multiple (LCM) of 84557 and 84573 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84557 and 84573. First we will calculate the prime factors of 84557 and 84573.
Prime Factorization of 84557
Prime factors of 84557 are 11, 7687. Prime factorization of 84557 in exponential form is:
84557 = 111 × 76871
Prime Factorization of 84573
Prime factors of 84573 are 3, 9397. Prime factorization of 84573 in exponential form is:
84573 = 32 × 93971
Now multiplying the highest exponent prime factors to calculate the LCM of 84557 and 84573.
LCM(84557,84573) = 111 × 76871 × 32 × 93971
LCM(84557,84573) = 7151239161
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