Least Common Multiple of 8408 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 8408 and 8413 the smallest integer that is 70736504 that is divisible by both numbers.

Least Common Multiple (LCM) of 8408 and 8413 is 70736504.

LCM(8408,8413) = 70736504

LCM of 8408 and 8413

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

LCM of:
and

Least Common Multiple of 8408 and 8413

LCM of 8408 and 8413 is 70736504

Least common multiple can be found by multiplying the highest exponent prime factors of 8408 and 8413. First we will calculate the prime factors of 8408 and 8413.

Prime Factorization of 8408


2 8408
2 4204
2 2102
1051 1051
1

Prime factors of 8408 are 2,1051. Prime factorization of 8408 in exponential form is:

8408 = 23×10511

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 8408 and 8413.

LCM(8408,8413) = 23×471×1791×10511
LCM(8408,8413) = 70736504

Factors of 8408

List of positive integer factors of 8408 that divides 8408 without a remainder.

1, 2, 4, 8, 1051, 2102, 4204, 8408

Factors of 8413

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

1, 47, 179, 8413

Least Common Multiple of 8408 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 8408 and 8413, than apply into the LCM equation.

GCF(8408,8413) = 1
LCM(8408,8413) = ( 8408 × 8413) / 1
LCM(8408,8413) = 70736504 / 1
LCM(8408,8413) = 70736504

Properties of LCM 8408 and 8413

(i) The LCM of 8413 and 8408 is associative

LCM of 8408 and 8413 = LCM of 8413 and 8408

Related Least Common Multiples of 8408

Related Least Common Multiples of 8413

Frequently Asked Questions on LCM of 8408 and 8413

1. What is the LCM of 8408 and 8413?

Answer: LCM of 8408 and 8413 is 70736504.

2. What are the Factors of 8408?

Answer: Factors of 8408 are 1, 2, 4, 8, 1051, 2102, 4204, 8408. There are 8 integers that are factors of 8408. The greatest factor of 8408 is 8408.

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 8408 and 8413?

Answer:

Least Common Multiple of 8408 and 8413 = 70736504

Step 1: Find the prime factorization of 8408

8408 = 2 x 2 x 2 x 1051

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 = 70736504 = 2 x 2 x 2 x 47 x 179 x 1051

Step 4: Therefore, the least common multiple of 8408 and 8413 is 70736504.