What is the Least Common Multiple of 84031 and 84041?
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 84031 and 84041 is 7062049271.
LCM(84031,84041) = 7062049271
Least Common Multiple of 84031 and 84041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84031 and 84041, than apply into the LCM equation.
GCF(84031,84041) = 1
LCM(84031,84041) = ( 84031 × 84041) / 1
LCM(84031,84041) = 7062049271 / 1
LCM(84031,84041) = 7062049271
Least Common Multiple (LCM) of 84031 and 84041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84031 and 84041. First we will calculate the prime factors of 84031 and 84041.
Prime Factorization of 84031
Prime factors of 84031 are 17, 4943. Prime factorization of 84031 in exponential form is:
84031 = 171 × 49431
Prime Factorization of 84041
Prime factors of 84041 are 31, 2711. Prime factorization of 84041 in exponential form is:
84041 = 311 × 27111
Now multiplying the highest exponent prime factors to calculate the LCM of 84031 and 84041.
LCM(84031,84041) = 171 × 49431 × 311 × 27111
LCM(84031,84041) = 7062049271
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