Least Common Multiple of 8362 and 8367

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 8367 the smallest integer that is 69964854 that is divisible by both numbers.

Least Common Multiple (LCM) of 8362 and 8367 is 69964854.

LCM(8362,8367) = 69964854

LCM of 8362 and 8367

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

LCM of:
and

Least Common Multiple of 8362 and 8367

LCM of 8362 and 8367 is 69964854

Least common multiple can be found by multiplying the highest exponent prime factors of 8362 and 8367. First we will calculate the prime factors of 8362 and 8367.

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 8367


3 8367
2789 2789
1

Prime factors of 8367 are 3,2789. Prime factorization of 8367 in exponential form is:

8367 = 31×27891

Now multiplying the highest exponent prime factors to calculate the LCM of 8362 and 8367.

LCM(8362,8367) = 21×31×371×1131×27891
LCM(8362,8367) = 69964854

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 8367

List of positive integer factors of 8367 that divides 8367 without a remainder.

1, 3, 2789, 8367

Least Common Multiple of 8362 and 8367 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 8367, than apply into the LCM equation.

GCF(8362,8367) = 1
LCM(8362,8367) = ( 8362 × 8367) / 1
LCM(8362,8367) = 69964854 / 1
LCM(8362,8367) = 69964854

Properties of LCM 8362 and 8367

(i) The LCM of 8367 and 8362 is associative

LCM of 8362 and 8367 = LCM of 8367 and 8362

Related Least Common Multiples of 8362

Related Least Common Multiples of 8367

Frequently Asked Questions on LCM of 8362 and 8367

1. What is the LCM of 8362 and 8367?

Answer: LCM of 8362 and 8367 is 69964854.

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 8367?

Answer: Factors of 8367 are 1, 3, 2789, 8367. There are 4 integers that are factors of 8367. The greatest factor of 8367 is 8367.

4. How to Find the LCM of 8362 and 8367?

Answer:

Least Common Multiple of 8362 and 8367 = 69964854

Step 1: Find the prime factorization of 8362

8362 = 2 x 37 x 113

Step 2: Find the prime factorization of 8367

8367 = 3 x 2789

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

LCM = 69964854 = 2 x 3 x 37 x 113 x 2789

Step 4: Therefore, the least common multiple of 8362 and 8367 is 69964854.