What is the Least Common Multiple of 84043 and 84061?
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 84061 is 7064738623.
LCM(84043,84061) = 7064738623
Least Common Multiple of 84043 and 84061 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 84061, than apply into the LCM equation.
GCF(84043,84061) = 1
LCM(84043,84061) = ( 84043 × 84061) / 1
LCM(84043,84061) = 7064738623 / 1
LCM(84043,84061) = 7064738623
Least Common Multiple (LCM) of 84043 and 84061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84043 and 84061. First we will calculate the prime factors of 84043 and 84061.
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 84061
Prime factors of 84061 are 84061. Prime factorization of 84061 in exponential form is:
84061 = 840611
Now multiplying the highest exponent prime factors to calculate the LCM of 84043 and 84061.
LCM(84043,84061) = 2291 × 3671 × 840611
LCM(84043,84061) = 7064738623
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