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What is the Least Common Multiple of 84061 and 84076?

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 84061 and 84076 is 7067512636.

LCM(84061,84076) = 7067512636

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Least Common Multiple of 84061 and 84076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84061 and 84076, than apply into the LCM equation.

GCF(84061,84076) = 1
LCM(84061,84076) = ( 84061 × 84076) / 1
LCM(84061,84076) = 7067512636 / 1
LCM(84061,84076) = 7067512636

Least Common Multiple (LCM) of 84061 and 84076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84061 and 84076. First we will calculate the prime factors of 84061 and 84076.

Prime Factorization of 84061

Prime factors of 84061 are 84061. Prime factorization of 84061 in exponential form is:

84061 = 840611

Prime Factorization of 84076

Prime factors of 84076 are 2, 21019. Prime factorization of 84076 in exponential form is:

84076 = 22 × 210191

Now multiplying the highest exponent prime factors to calculate the LCM of 84061 and 84076.

LCM(84061,84076) = 840611 × 22 × 210191
LCM(84061,84076) = 7067512636