Least Common Multiple of 84340 and 84345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 84340 and 84345 the smallest integer that is 1422731460 that is divisible by both numbers.

Least Common Multiple (LCM) of 84340 and 84345 is 1422731460.

LCM(84340,84345) = 1422731460

LCM of 84340 and 84345

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

LCM of:
and

Least Common Multiple of 84340 and 84345

LCM of 84340 and 84345 is 1422731460

Least common multiple can be found by multiplying the highest exponent prime factors of 84340 and 84345. First we will calculate the prime factors of 84340 and 84345.

Prime Factorization of 84340


2 84340
2 42170
5 21085
4217 4217
1

Prime factors of 84340 are 2, 5,4217. Prime factorization of 84340 in exponential form is:

84340 = 22×51×42171

Prime Factorization of 84345


3 84345
5 28115
5623 5623
1

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

84345 = 31×51×56231

Now multiplying the highest exponent prime factors to calculate the LCM of 84340 and 84345.

LCM(84340,84345) = 22×31×51×42171×56231
LCM(84340,84345) = 1422731460

Factors of 84340

List of positive integer factors of 84340 that divides 84340 without a remainder.

1, 2, 4, 5, 10, 20, 4217, 8434, 16868, 21085, 42170, 84340

Factors of 84345

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

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

Least Common Multiple of 84340 and 84345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84340 and 84345, than apply into the LCM equation.

GCF(84340,84345) = 5
LCM(84340,84345) = ( 84340 × 84345) / 5
LCM(84340,84345) = 7113657300 / 5
LCM(84340,84345) = 1422731460

Properties of LCM 84340 and 84345

(i) The LCM of 84345 and 84340 is associative

LCM of 84340 and 84345 = LCM of 84345 and 84340

Related Least Common Multiples of 84340

Related Least Common Multiples of 84345

Frequently Asked Questions on LCM of 84340 and 84345

1. What is the LCM of 84340 and 84345?

Answer: LCM of 84340 and 84345 is 1422731460.

2. What are the Factors of 84340?

Answer: Factors of 84340 are 1, 2, 4, 5, 10, 20, 4217, 8434, 16868, 21085, 42170, 84340. There are 12 integers that are factors of 84340. The greatest factor of 84340 is 84340.

3. 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.

4. How to Find the LCM of 84340 and 84345?

Answer:

Least Common Multiple of 84340 and 84345 = 1422731460

Step 1: Find the prime factorization of 84340

84340 = 2 x 2 x 5 x 4217

Step 2: Find the prime factorization of 84345

84345 = 3 x 5 x 5623

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

LCM = 1422731460 = 2 x 2 x 3 x 5 x 4217 x 5623

Step 4: Therefore, the least common multiple of 84340 and 84345 is 1422731460.