Least Common Multiple of 8368 and 8373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8368 and 8373 the smallest integer that is 70065264 that is divisible by both numbers.

Least Common Multiple (LCM) of 8368 and 8373 is 70065264.

LCM(8368,8373) = 70065264

LCM of 8368 and 8373

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

LCM of:
and

Least Common Multiple of 8368 and 8373

LCM of 8368 and 8373 is 70065264

Least common multiple can be found by multiplying the highest exponent prime factors of 8368 and 8373. First we will calculate the prime factors of 8368 and 8373.

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

Prime Factorization of 8373


3 8373
2791 2791
1

Prime factors of 8373 are 3,2791. Prime factorization of 8373 in exponential form is:

8373 = 31×27911

Now multiplying the highest exponent prime factors to calculate the LCM of 8368 and 8373.

LCM(8368,8373) = 24×31×5231×27911
LCM(8368,8373) = 70065264

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

Factors of 8373

List of positive integer factors of 8373 that divides 8373 without a remainder.

1, 3, 2791, 8373

Least Common Multiple of 8368 and 8373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8368 and 8373, than apply into the LCM equation.

GCF(8368,8373) = 1
LCM(8368,8373) = ( 8368 × 8373) / 1
LCM(8368,8373) = 70065264 / 1
LCM(8368,8373) = 70065264

Properties of LCM 8368 and 8373

(i) The LCM of 8373 and 8368 is associative

LCM of 8368 and 8373 = LCM of 8373 and 8368

Related Least Common Multiples of 8368

Related Least Common Multiples of 8373

Frequently Asked Questions on LCM of 8368 and 8373

1. What is the LCM of 8368 and 8373?

Answer: LCM of 8368 and 8373 is 70065264.

2. 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.

3. What are the Factors of 8373?

Answer: Factors of 8373 are 1, 3, 2791, 8373. There are 4 integers that are factors of 8373. The greatest factor of 8373 is 8373.

4. How to Find the LCM of 8368 and 8373?

Answer:

Least Common Multiple of 8368 and 8373 = 70065264

Step 1: Find the prime factorization of 8368

8368 = 2 x 2 x 2 x 2 x 523

Step 2: Find the prime factorization of 8373

8373 = 3 x 2791

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

LCM = 70065264 = 2 x 2 x 2 x 2 x 3 x 523 x 2791

Step 4: Therefore, the least common multiple of 8368 and 8373 is 70065264.