Least Common Multiple of 8362 and 8368

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 8368 the smallest integer that is 34986608 that is divisible by both numbers.

Least Common Multiple (LCM) of 8362 and 8368 is 34986608.

LCM(8362,8368) = 34986608

LCM of 8362 and 8368

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

LCM of:
and

Least Common Multiple of 8362 and 8368

LCM of 8362 and 8368 is 34986608

Least common multiple can be found by multiplying the highest exponent prime factors of 8362 and 8368. First we will calculate the prime factors of 8362 and 8368.

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 8368


2 8368
2 4184
2 2092
2 1046
523 523
1

Prime factors of 8368 are 2,523. Prime factorization of 8368 in exponential form is:

8368 = 24×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 8362 and 8368.

LCM(8362,8368) = 24×371×1131×5231
LCM(8362,8368) = 34986608

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 8368

List of positive integer factors of 8368 that divides 8368 without a remainder.

1, 2, 4, 8, 16, 523, 1046, 2092, 4184, 8368

Least Common Multiple of 8362 and 8368 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 8368, than apply into the LCM equation.

GCF(8362,8368) = 2
LCM(8362,8368) = ( 8362 × 8368) / 2
LCM(8362,8368) = 69973216 / 2
LCM(8362,8368) = 34986608

Properties of LCM 8362 and 8368

(i) The LCM of 8368 and 8362 is associative

LCM of 8362 and 8368 = LCM of 8368 and 8362

Related Least Common Multiples of 8362

Related Least Common Multiples of 8368

Frequently Asked Questions on LCM of 8362 and 8368

1. What is the LCM of 8362 and 8368?

Answer: LCM of 8362 and 8368 is 34986608.

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 8368?

Answer: Factors of 8368 are 1, 2, 4, 8, 16, 523, 1046, 2092, 4184, 8368. There are 10 integers that are factors of 8368. The greatest factor of 8368 is 8368.

4. How to Find the LCM of 8362 and 8368?

Answer:

Least Common Multiple of 8362 and 8368 = 34986608

Step 1: Find the prime factorization of 8362

8362 = 2 x 37 x 113

Step 2: Find the prime factorization of 8368

8368 = 2 x 2 x 2 x 2 x 523

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

LCM = 34986608 = 2 x 2 x 2 x 2 x 37 x 113 x 523

Step 4: Therefore, the least common multiple of 8362 and 8368 is 34986608.