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What is the Least Common Multiple of 84505 and 84513?

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 84505 and 84513 is 7141771065.

LCM(84505,84513) = 7141771065

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Least Common Multiple of 84505 and 84513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84505 and 84513, than apply into the LCM equation.

GCF(84505,84513) = 1
LCM(84505,84513) = ( 84505 × 84513) / 1
LCM(84505,84513) = 7141771065 / 1
LCM(84505,84513) = 7141771065

Least Common Multiple (LCM) of 84505 and 84513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84505 and 84513. First we will calculate the prime factors of 84505 and 84513.

Prime Factorization of 84505

Prime factors of 84505 are 5, 16901. Prime factorization of 84505 in exponential form is:

84505 = 51 × 169011

Prime Factorization of 84513

Prime factors of 84513 are 3, 11, 13, 197. Prime factorization of 84513 in exponential form is:

84513 = 31 × 111 × 131 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 84505 and 84513.

LCM(84505,84513) = 51 × 169011 × 31 × 111 × 131 × 1971
LCM(84505,84513) = 7141771065