Least Common Multiple of 8368 and 8374

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 8374 the smallest integer that is 35036816 that is divisible by both numbers.

Least Common Multiple (LCM) of 8368 and 8374 is 35036816.

LCM(8368,8374) = 35036816

LCM of 8368 and 8374

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

LCM of:
and

Least Common Multiple of 8368 and 8374

LCM of 8368 and 8374 is 35036816

Least common multiple can be found by multiplying the highest exponent prime factors of 8368 and 8374. First we will calculate the prime factors of 8368 and 8374.

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 8374


2 8374
53 4187
79 79
1

Prime factors of 8374 are 2, 53,79. Prime factorization of 8374 in exponential form is:

8374 = 21×531×791

Now multiplying the highest exponent prime factors to calculate the LCM of 8368 and 8374.

LCM(8368,8374) = 24×531×791×5231
LCM(8368,8374) = 35036816

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 8374

List of positive integer factors of 8374 that divides 8374 without a remainder.

1, 2, 53, 79, 106, 158, 4187, 8374

Least Common Multiple of 8368 and 8374 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 8374, than apply into the LCM equation.

GCF(8368,8374) = 2
LCM(8368,8374) = ( 8368 × 8374) / 2
LCM(8368,8374) = 70073632 / 2
LCM(8368,8374) = 35036816

Properties of LCM 8368 and 8374

(i) The LCM of 8374 and 8368 is associative

LCM of 8368 and 8374 = LCM of 8374 and 8368

Related Least Common Multiples of 8368

Related Least Common Multiples of 8374

Frequently Asked Questions on LCM of 8368 and 8374

1. What is the LCM of 8368 and 8374?

Answer: LCM of 8368 and 8374 is 35036816.

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 8374?

Answer: Factors of 8374 are 1, 2, 53, 79, 106, 158, 4187, 8374. There are 8 integers that are factors of 8374. The greatest factor of 8374 is 8374.

4. How to Find the LCM of 8368 and 8374?

Answer:

Least Common Multiple of 8368 and 8374 = 35036816

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 8374

8374 = 2 x 53 x 79

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

LCM = 35036816 = 2 x 2 x 2 x 2 x 53 x 79 x 523

Step 4: Therefore, the least common multiple of 8368 and 8374 is 35036816.