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What is the Least Common Multiple of 84043 and 84062?

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 84062 is 7064822666.

LCM(84043,84062) = 7064822666

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Least Common Multiple of 84043 and 84062 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 84062, than apply into the LCM equation.

GCF(84043,84062) = 1
LCM(84043,84062) = ( 84043 × 84062) / 1
LCM(84043,84062) = 7064822666 / 1
LCM(84043,84062) = 7064822666

Least Common Multiple (LCM) of 84043 and 84062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84043 and 84062. First we will calculate the prime factors of 84043 and 84062.

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 84062

Prime factors of 84062 are 2, 11, 3821. Prime factorization of 84062 in exponential form is:

84062 = 21 × 111 × 38211

Now multiplying the highest exponent prime factors to calculate the LCM of 84043 and 84062.

LCM(84043,84062) = 2291 × 3671 × 21 × 111 × 38211
LCM(84043,84062) = 7064822666