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What is the Least Common Multiple of 84046 and 84058?

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 84046 and 84058 is 3532369334.

LCM(84046,84058) = 3532369334

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Least Common Multiple of 84046 and 84058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84046 and 84058, than apply into the LCM equation.

GCF(84046,84058) = 2
LCM(84046,84058) = ( 84046 × 84058) / 2
LCM(84046,84058) = 7064738668 / 2
LCM(84046,84058) = 3532369334

Least Common Multiple (LCM) of 84046 and 84058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84046 and 84058. First we will calculate the prime factors of 84046 and 84058.

Prime Factorization of 84046

Prime factors of 84046 are 2, 42023. Prime factorization of 84046 in exponential form is:

84046 = 21 × 420231

Prime Factorization of 84058

Prime factors of 84058 are 2, 13, 53, 61. Prime factorization of 84058 in exponential form is:

84058 = 21 × 131 × 531 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 84046 and 84058.

LCM(84046,84058) = 21 × 420231 × 131 × 531 × 611
LCM(84046,84058) = 3532369334