What is the Least Common Multiple of 84830 and 84841?
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 84830 and 84841 is 7197062030.
LCM(84830,84841) = 7197062030
Least Common Multiple of 84830 and 84841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84830 and 84841, than apply into the LCM equation.
GCF(84830,84841) = 1
LCM(84830,84841) = ( 84830 × 84841) / 1
LCM(84830,84841) = 7197062030 / 1
LCM(84830,84841) = 7197062030
Least Common Multiple (LCM) of 84830 and 84841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84830 and 84841. First we will calculate the prime factors of 84830 and 84841.
Prime Factorization of 84830
Prime factors of 84830 are 2, 5, 17, 499. Prime factorization of 84830 in exponential form is:
84830 = 21 × 51 × 171 × 4991
Prime Factorization of 84841
Prime factors of 84841 are 37, 2293. Prime factorization of 84841 in exponential form is:
84841 = 371 × 22931
Now multiplying the highest exponent prime factors to calculate the LCM of 84830 and 84841.
LCM(84830,84841) = 21 × 51 × 171 × 4991 × 371 × 22931
LCM(84830,84841) = 7197062030
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