Least Common Multiple of 8369 and 8376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8369 and 8376 the smallest integer that is 70098744 that is divisible by both numbers.

Least Common Multiple (LCM) of 8369 and 8376 is 70098744.

LCM(8369,8376) = 70098744

LCM of 8369 and 8376

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

LCM of:
and

Least Common Multiple of 8369 and 8376

LCM of 8369 and 8376 is 70098744

Least common multiple can be found by multiplying the highest exponent prime factors of 8369 and 8376. First we will calculate the prime factors of 8369 and 8376.

Prime Factorization of 8369


8369 8369
1

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

8369 = 83691

Prime Factorization of 8376


2 8376
2 4188
2 2094
3 1047
349 349
1

Prime factors of 8376 are 2, 3,349. Prime factorization of 8376 in exponential form is:

8376 = 23×31×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 8369 and 8376.

LCM(8369,8376) = 23×31×3491×83691
LCM(8369,8376) = 70098744

Factors of 8369

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

1, 8369

Factors of 8376

List of positive integer factors of 8376 that divides 8376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376

Least Common Multiple of 8369 and 8376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8369 and 8376, than apply into the LCM equation.

GCF(8369,8376) = 1
LCM(8369,8376) = ( 8369 × 8376) / 1
LCM(8369,8376) = 70098744 / 1
LCM(8369,8376) = 70098744

Properties of LCM 8369 and 8376

(i) The LCM of 8376 and 8369 is associative

LCM of 8369 and 8376 = LCM of 8376 and 8369

Related Least Common Multiples of 8369

Related Least Common Multiples of 8376

Frequently Asked Questions on LCM of 8369 and 8376

1. What is the LCM of 8369 and 8376?

Answer: LCM of 8369 and 8376 is 70098744.

2. 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.

3. What are the Factors of 8376?

Answer: Factors of 8376 are 1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376. There are 16 integers that are factors of 8376. The greatest factor of 8376 is 8376.

4. How to Find the LCM of 8369 and 8376?

Answer:

Least Common Multiple of 8369 and 8376 = 70098744

Step 1: Find the prime factorization of 8369

8369 = 8369

Step 2: Find the prime factorization of 8376

8376 = 2 x 2 x 2 x 3 x 349

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

LCM = 70098744 = 2 x 2 x 2 x 3 x 349 x 8369

Step 4: Therefore, the least common multiple of 8369 and 8376 is 70098744.