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What is the Least Common Multiple of 84817 and 84833?

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 84817 and 84833 is 7195280561.

LCM(84817,84833) = 7195280561

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Least Common Multiple of 84817 and 84833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84817 and 84833, than apply into the LCM equation.

GCF(84817,84833) = 1
LCM(84817,84833) = ( 84817 × 84833) / 1
LCM(84817,84833) = 7195280561 / 1
LCM(84817,84833) = 7195280561

Least Common Multiple (LCM) of 84817 and 84833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84817 and 84833. First we will calculate the prime factors of 84817 and 84833.

Prime Factorization of 84817

Prime factors of 84817 are 89, 953. Prime factorization of 84817 in exponential form is:

84817 = 891 × 9531

Prime Factorization of 84833

Prime factors of 84833 are 7, 12119. Prime factorization of 84833 in exponential form is:

84833 = 71 × 121191

Now multiplying the highest exponent prime factors to calculate the LCM of 84817 and 84833.

LCM(84817,84833) = 891 × 9531 × 71 × 121191
LCM(84817,84833) = 7195280561