Least Common Multiple of 8368 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 8368 and 8376 the smallest integer that is 8761296 that is divisible by both numbers.

Least Common Multiple (LCM) of 8368 and 8376 is 8761296.

LCM(8368,8376) = 8761296

LCM of 8368 and 8376

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

LCM of:
and

Least Common Multiple of 8368 and 8376

LCM of 8368 and 8376 is 8761296

Least common multiple can be found by multiplying the highest exponent prime factors of 8368 and 8376. First we will calculate the prime factors of 8368 and 8376.

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 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 8368 and 8376.

LCM(8368,8376) = 24×31×3491×5231
LCM(8368,8376) = 8761296

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 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 8368 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 8368 and 8376, than apply into the LCM equation.

GCF(8368,8376) = 8
LCM(8368,8376) = ( 8368 × 8376) / 8
LCM(8368,8376) = 70090368 / 8
LCM(8368,8376) = 8761296

Properties of LCM 8368 and 8376

(i) The LCM of 8376 and 8368 is associative

LCM of 8368 and 8376 = LCM of 8376 and 8368

Related Least Common Multiples of 8368

Related Least Common Multiples of 8376

Frequently Asked Questions on LCM of 8368 and 8376

1. What is the LCM of 8368 and 8376?

Answer: LCM of 8368 and 8376 is 8761296.

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 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 8368 and 8376?

Answer:

Least Common Multiple of 8368 and 8376 = 8761296

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 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 = 8761296 = 2 x 2 x 2 x 2 x 3 x 349 x 523

Step 4: Therefore, the least common multiple of 8368 and 8376 is 8761296.