Least Common Multiple of 84345 and 84349

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 84345 and 84349 by Prime method
• Least Common Multiple of 84345 and 84349 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 84345 and 84349. First we will calculate the prime factors of 84345 and 84349.

Prime Factorization of 84345

Prime factors of 84345 are 3, 5,5623. Prime factorization of 84345 in exponential form is:

84345 = 3¹×5¹×5623¹

Prime Factorization of 84349

Prime factors of 84349 are 84349. Prime factorization of 84349 in exponential form is:

84349 = 84349¹

Now multiplying the highest exponent prime factors to calculate the LCM of 84345 and 84349.

LCM(84345,84349) = 3¹×5¹×5623¹×84349¹
LCM(84345,84349) = 7114416405

Factors of 84345

List of positive integer factors of 84345 that divides 84345 without a remainder.

1, 3, 5, 15, 5623, 16869, 28115, 84345

Factors of 84349

List of positive integer factors of 84349 that divides 84349 without a remainder.

1, 84349

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84345 and 84349, than apply into the LCM equation.

GCF(84345,84349) = 1
LCM(84345,84349) = ( 84345 × 84349) / 1
LCM(84345,84349) = 7114416405 / 1
LCM(84345,84349) = 7114416405

(i) The LCM of 84349 and 84345 is associative

LCM of 84345 and 84349 = LCM of 84349 and 84345

1. What is the LCM of 84345 and 84349?

Answer: LCM of 84345 and 84349 is 7114416405.

2. What are the Factors of 84345?

Answer: Factors of 84345 are 1, 3, 5, 15, 5623, 16869, 28115, 84345. There are 8 integers that are factors of 84345. The greatest factor of 84345 is 84345.

3. What are the Factors of 84349?

Answer: Factors of 84349 are 1, 84349. There are 2 integers that are factors of 84349. The greatest factor of 84349 is 84349.

4. How to Find the LCM of 84345 and 84349?

Answer:

Least Common Multiple of 84345 and 84349 = 7114416405

Step 1: Find the prime factorization of 84345

84345 = 3 x 5 x 5623

Step 2: Find the prime factorization of 84349

84349 = 84349

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 7114416405 = 3 x 5 x 5623 x 84349

Step 4: Therefore, the least common multiple of 84345 and 84349 is 7114416405.