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What is the Least Common Multiple of 84029 and 84043?

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 84029 and 84043 is 7062049247.

LCM(84029,84043) = 7062049247

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Least Common Multiple of 84029 and 84043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84029 and 84043, than apply into the LCM equation.

GCF(84029,84043) = 1
LCM(84029,84043) = ( 84029 × 84043) / 1
LCM(84029,84043) = 7062049247 / 1
LCM(84029,84043) = 7062049247

Least Common Multiple (LCM) of 84029 and 84043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84029 and 84043. First we will calculate the prime factors of 84029 and 84043.

Prime Factorization of 84029

Prime factors of 84029 are 11, 7639. Prime factorization of 84029 in exponential form is:

84029 = 111 × 76391

Prime Factorization of 84043

Prime factors of 84043 are 229, 367. Prime factorization of 84043 in exponential form is:

84043 = 2291 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 84029 and 84043.

LCM(84029,84043) = 111 × 76391 × 2291 × 3671
LCM(84029,84043) = 7062049247