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What is the Least Common Multiple of 84817 and 84822?

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 84822 is 7194347574.

LCM(84817,84822) = 7194347574

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Least Common Multiple of 84817 and 84822 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 84822, than apply into the LCM equation.

GCF(84817,84822) = 1
LCM(84817,84822) = ( 84817 × 84822) / 1
LCM(84817,84822) = 7194347574 / 1
LCM(84817,84822) = 7194347574

Least Common Multiple (LCM) of 84817 and 84822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84817 and 84822. First we will calculate the prime factors of 84817 and 84822.

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 84822

Prime factors of 84822 are 2, 3, 67, 211. Prime factorization of 84822 in exponential form is:

84822 = 21 × 31 × 671 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 84817 and 84822.

LCM(84817,84822) = 891 × 9531 × 21 × 31 × 671 × 2111
LCM(84817,84822) = 7194347574