Least Common Multiple of 8356 and 8362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8356 and 8362 the smallest integer that is 34936436 that is divisible by both numbers.

Least Common Multiple (LCM) of 8356 and 8362 is 34936436.

LCM(8356,8362) = 34936436

LCM of 8356 and 8362

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

LCM of:
and

Least Common Multiple of 8356 and 8362

LCM of 8356 and 8362 is 34936436

Least common multiple can be found by multiplying the highest exponent prime factors of 8356 and 8362. First we will calculate the prime factors of 8356 and 8362.

Prime Factorization of 8356


2 8356
2 4178
2089 2089
1

Prime factors of 8356 are 2,2089. Prime factorization of 8356 in exponential form is:

8356 = 22×20891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8356 and 8362.

LCM(8356,8362) = 22×371×1131×20891
LCM(8356,8362) = 34936436

Factors of 8356

List of positive integer factors of 8356 that divides 8356 without a remainder.

1, 2, 4, 2089, 4178, 8356

Factors of 8362

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

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

Least Common Multiple of 8356 and 8362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8356 and 8362, than apply into the LCM equation.

GCF(8356,8362) = 2
LCM(8356,8362) = ( 8356 × 8362) / 2
LCM(8356,8362) = 69872872 / 2
LCM(8356,8362) = 34936436

Properties of LCM 8356 and 8362

(i) The LCM of 8362 and 8356 is associative

LCM of 8356 and 8362 = LCM of 8362 and 8356

Related Least Common Multiples of 8356

Related Least Common Multiples of 8362

Frequently Asked Questions on LCM of 8356 and 8362

1. What is the LCM of 8356 and 8362?

Answer: LCM of 8356 and 8362 is 34936436.

2. What are the Factors of 8356?

Answer: Factors of 8356 are 1, 2, 4, 2089, 4178, 8356. There are 6 integers that are factors of 8356. The greatest factor of 8356 is 8356.

3. 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.

4. How to Find the LCM of 8356 and 8362?

Answer:

Least Common Multiple of 8356 and 8362 = 34936436

Step 1: Find the prime factorization of 8356

8356 = 2 x 2 x 2089

Step 2: Find the prime factorization of 8362

8362 = 2 x 37 x 113

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

LCM = 34936436 = 2 x 2 x 37 x 113 x 2089

Step 4: Therefore, the least common multiple of 8356 and 8362 is 34936436.