Least Common Multiple of 8406 and 8413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8406 and 8413 the smallest integer that is 70719678 that is divisible by both numbers.

Least Common Multiple (LCM) of 8406 and 8413 is 70719678.

LCM(8406,8413) = 70719678

LCM of 8406 and 8413

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

LCM of:
and

Least Common Multiple of 8406 and 8413

LCM of 8406 and 8413 is 70719678

Least common multiple can be found by multiplying the highest exponent prime factors of 8406 and 8413. First we will calculate the prime factors of 8406 and 8413.

Prime Factorization of 8406


2 8406
3 4203
3 1401
467 467
1

Prime factors of 8406 are 2, 3,467. Prime factorization of 8406 in exponential form is:

8406 = 21×32×4671

Prime Factorization of 8413


47 8413
179 179
1

Prime factors of 8413 are 47,179. Prime factorization of 8413 in exponential form is:

8413 = 471×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 8406 and 8413.

LCM(8406,8413) = 21×32×471×1791×4671
LCM(8406,8413) = 70719678

Factors of 8406

List of positive integer factors of 8406 that divides 8406 without a remainder.

1, 2, 3, 6, 9, 18, 467, 934, 1401, 2802, 4203, 8406

Factors of 8413

List of positive integer factors of 8413 that divides 8413 without a remainder.

1, 47, 179, 8413

Least Common Multiple of 8406 and 8413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8406 and 8413, than apply into the LCM equation.

GCF(8406,8413) = 1
LCM(8406,8413) = ( 8406 × 8413) / 1
LCM(8406,8413) = 70719678 / 1
LCM(8406,8413) = 70719678

Properties of LCM 8406 and 8413

(i) The LCM of 8413 and 8406 is associative

LCM of 8406 and 8413 = LCM of 8413 and 8406

Related Least Common Multiples of 8406

Related Least Common Multiples of 8413

Frequently Asked Questions on LCM of 8406 and 8413

1. What is the LCM of 8406 and 8413?

Answer: LCM of 8406 and 8413 is 70719678.

2. What are the Factors of 8406?

Answer: Factors of 8406 are 1, 2, 3, 6, 9, 18, 467, 934, 1401, 2802, 4203, 8406. There are 12 integers that are factors of 8406. The greatest factor of 8406 is 8406.

3. What are the Factors of 8413?

Answer: Factors of 8413 are 1, 47, 179, 8413. There are 4 integers that are factors of 8413. The greatest factor of 8413 is 8413.

4. How to Find the LCM of 8406 and 8413?

Answer:

Least Common Multiple of 8406 and 8413 = 70719678

Step 1: Find the prime factorization of 8406

8406 = 2 x 3 x 3 x 467

Step 2: Find the prime factorization of 8413

8413 = 47 x 179

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

LCM = 70719678 = 2 x 3 x 3 x 47 x 179 x 467

Step 4: Therefore, the least common multiple of 8406 and 8413 is 70719678.