Least Common Multiple of 8574 and 8576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8574 and 8576 the smallest integer that is 36765312 that is divisible by both numbers.

Least Common Multiple (LCM) of 8574 and 8576 is 36765312.

LCM(8574,8576) = 36765312

LCM of 8574 and 8576

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

LCM of:
and

Least Common Multiple of 8574 and 8576

LCM of 8574 and 8576 is 36765312

Least common multiple can be found by multiplying the highest exponent prime factors of 8574 and 8576. First we will calculate the prime factors of 8574 and 8576.

Prime Factorization of 8574


2 8574
3 4287
1429 1429
1

Prime factors of 8574 are 2, 3,1429. Prime factorization of 8574 in exponential form is:

8574 = 21×31×14291

Prime Factorization of 8576


2 8576
2 4288
2 2144
2 1072
2 536
2 268
2 134
67 67
1

Prime factors of 8576 are 2,67. Prime factorization of 8576 in exponential form is:

8576 = 27×671

Now multiplying the highest exponent prime factors to calculate the LCM of 8574 and 8576.

LCM(8574,8576) = 27×31×671×14291
LCM(8574,8576) = 36765312

Factors of 8574

List of positive integer factors of 8574 that divides 8574 without a remainder.

1, 2, 3, 6, 1429, 2858, 4287, 8574

Factors of 8576

List of positive integer factors of 8576 that divides 8576 without a remainder.

1, 2, 4, 8, 16, 32, 64, 67, 128, 134, 268, 536, 1072, 2144, 4288, 8576

Least Common Multiple of 8574 and 8576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8574 and 8576, than apply into the LCM equation.

GCF(8574,8576) = 2
LCM(8574,8576) = ( 8574 × 8576) / 2
LCM(8574,8576) = 73530624 / 2
LCM(8574,8576) = 36765312

Properties of LCM 8574 and 8576

(i) The LCM of 8576 and 8574 is associative

LCM of 8574 and 8576 = LCM of 8576 and 8574

Related Least Common Multiples of 8574

Related Least Common Multiples of 8576

Frequently Asked Questions on LCM of 8574 and 8576

1. What is the LCM of 8574 and 8576?

Answer: LCM of 8574 and 8576 is 36765312.

2. What are the Factors of 8574?

Answer: Factors of 8574 are 1, 2, 3, 6, 1429, 2858, 4287, 8574. There are 8 integers that are factors of 8574. The greatest factor of 8574 is 8574.

3. What are the Factors of 8576?

Answer: Factors of 8576 are 1, 2, 4, 8, 16, 32, 64, 67, 128, 134, 268, 536, 1072, 2144, 4288, 8576. There are 16 integers that are factors of 8576. The greatest factor of 8576 is 8576.

4. How to Find the LCM of 8574 and 8576?

Answer:

Least Common Multiple of 8574 and 8576 = 36765312

Step 1: Find the prime factorization of 8574

8574 = 2 x 3 x 1429

Step 2: Find the prime factorization of 8576

8576 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 67

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

LCM = 36765312 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 67 x 1429

Step 4: Therefore, the least common multiple of 8574 and 8576 is 36765312.