What is the Least Common Multiple of 84057 and 84067?
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 84057 and 84067 is 7066419819.
LCM(84057,84067) = 7066419819
Least Common Multiple of 84057 and 84067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84057 and 84067, than apply into the LCM equation.
GCF(84057,84067) = 1
LCM(84057,84067) = ( 84057 × 84067) / 1
LCM(84057,84067) = 7066419819 / 1
LCM(84057,84067) = 7066419819
Least Common Multiple (LCM) of 84057 and 84067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84057 and 84067. First we will calculate the prime factors of 84057 and 84067.
Prime Factorization of 84057
Prime factors of 84057 are 3, 28019. Prime factorization of 84057 in exponential form is:
84057 = 31 × 280191
Prime Factorization of 84067
Prime factors of 84067 are 84067. Prime factorization of 84067 in exponential form is:
84067 = 840671
Now multiplying the highest exponent prime factors to calculate the LCM of 84057 and 84067.
LCM(84057,84067) = 31 × 280191 × 840671
LCM(84057,84067) = 7066419819
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