What is the Least Common Multiple of 84043 and 84047?
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 84043 and 84047 is 7063562021.
LCM(84043,84047) = 7063562021
Least Common Multiple of 84043 and 84047 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84043 and 84047, than apply into the LCM equation.
GCF(84043,84047) = 1
LCM(84043,84047) = ( 84043 × 84047) / 1
LCM(84043,84047) = 7063562021 / 1
LCM(84043,84047) = 7063562021
Least Common Multiple (LCM) of 84043 and 84047 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84043 and 84047. First we will calculate the prime factors of 84043 and 84047.
Prime Factorization of 84043
Prime factors of 84043 are 229, 367. Prime factorization of 84043 in exponential form is:
84043 = 2291 × 3671
Prime Factorization of 84047
Prime factors of 84047 are 84047. Prime factorization of 84047 in exponential form is:
84047 = 840471
Now multiplying the highest exponent prime factors to calculate the LCM of 84043 and 84047.
LCM(84043,84047) = 2291 × 3671 × 840471
LCM(84043,84047) = 7063562021
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