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What is the Least Common Multiple of 84834 and 84847?

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 84834 and 84847 is 7197910398.

LCM(84834,84847) = 7197910398

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Least Common Multiple of 84834 and 84847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84834 and 84847, than apply into the LCM equation.

GCF(84834,84847) = 1
LCM(84834,84847) = ( 84834 × 84847) / 1
LCM(84834,84847) = 7197910398 / 1
LCM(84834,84847) = 7197910398

Least Common Multiple (LCM) of 84834 and 84847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84834 and 84847. First we will calculate the prime factors of 84834 and 84847.

Prime Factorization of 84834

Prime factors of 84834 are 2, 3, 1571. Prime factorization of 84834 in exponential form is:

84834 = 21 × 33 × 15711

Prime Factorization of 84847

Prime factors of 84847 are 7, 17, 23, 31. Prime factorization of 84847 in exponential form is:

84847 = 71 × 171 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 84834 and 84847.

LCM(84834,84847) = 21 × 33 × 15711 × 71 × 171 × 231 × 311
LCM(84834,84847) = 7197910398