Least Common Multiple of 8362 and 8369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8362 and 8369 the smallest integer that is 69981578 that is divisible by both numbers.

Least Common Multiple (LCM) of 8362 and 8369 is 69981578.

LCM(8362,8369) = 69981578

LCM of 8362 and 8369

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

LCM of:
and

Least Common Multiple of 8362 and 8369

LCM of 8362 and 8369 is 69981578

Least common multiple can be found by multiplying the highest exponent prime factors of 8362 and 8369. First we will calculate the prime factors of 8362 and 8369.

Prime Factorization of 8362


2 8362
37 4181
113 113
1

Prime factors of 8362 are 2, 37,113. Prime factorization of 8362 in exponential form is:

8362 = 21×371×1131

Prime Factorization of 8369


8369 8369
1

Prime factors of 8369 are 8369. Prime factorization of 8369 in exponential form is:

8369 = 83691

Now multiplying the highest exponent prime factors to calculate the LCM of 8362 and 8369.

LCM(8362,8369) = 21×371×1131×83691
LCM(8362,8369) = 69981578

Factors of 8362

List of positive integer factors of 8362 that divides 8362 without a remainder.

1, 2, 37, 74, 113, 226, 4181, 8362

Factors of 8369

List of positive integer factors of 8369 that divides 8369 without a remainder.

1, 8369

Least Common Multiple of 8362 and 8369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8362 and 8369, than apply into the LCM equation.

GCF(8362,8369) = 1
LCM(8362,8369) = ( 8362 × 8369) / 1
LCM(8362,8369) = 69981578 / 1
LCM(8362,8369) = 69981578

Properties of LCM 8362 and 8369

(i) The LCM of 8369 and 8362 is associative

LCM of 8362 and 8369 = LCM of 8369 and 8362

Related Least Common Multiples of 8362

Related Least Common Multiples of 8369

Frequently Asked Questions on LCM of 8362 and 8369

1. What is the LCM of 8362 and 8369?

Answer: LCM of 8362 and 8369 is 69981578.

2. What are the Factors of 8362?

Answer: Factors of 8362 are 1, 2, 37, 74, 113, 226, 4181, 8362. There are 8 integers that are factors of 8362. The greatest factor of 8362 is 8362.

3. What are the Factors of 8369?

Answer: Factors of 8369 are 1, 8369. There are 2 integers that are factors of 8369. The greatest factor of 8369 is 8369.

4. How to Find the LCM of 8362 and 8369?

Answer:

Least Common Multiple of 8362 and 8369 = 69981578

Step 1: Find the prime factorization of 8362

8362 = 2 x 37 x 113

Step 2: Find the prime factorization of 8369

8369 = 8369

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

LCM = 69981578 = 2 x 37 x 113 x 8369

Step 4: Therefore, the least common multiple of 8362 and 8369 is 69981578.