Least Common Multiple of 8572 and 8574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8572 and 8574 the smallest integer that is 36748164 that is divisible by both numbers.

Least Common Multiple (LCM) of 8572 and 8574 is 36748164.

LCM(8572,8574) = 36748164

LCM of 8572 and 8574

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

LCM of:
and

Least Common Multiple of 8572 and 8574

LCM of 8572 and 8574 is 36748164

Least common multiple can be found by multiplying the highest exponent prime factors of 8572 and 8574. First we will calculate the prime factors of 8572 and 8574.

Prime Factorization of 8572


2 8572
2 4286
2143 2143
1

Prime factors of 8572 are 2,2143. Prime factorization of 8572 in exponential form is:

8572 = 22×21431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8572 and 8574.

LCM(8572,8574) = 22×31×14291×21431
LCM(8572,8574) = 36748164

Factors of 8572

List of positive integer factors of 8572 that divides 8572 without a remainder.

1, 2, 4, 2143, 4286, 8572

Factors of 8574

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

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

Least Common Multiple of 8572 and 8574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8572 and 8574, than apply into the LCM equation.

GCF(8572,8574) = 2
LCM(8572,8574) = ( 8572 × 8574) / 2
LCM(8572,8574) = 73496328 / 2
LCM(8572,8574) = 36748164

Properties of LCM 8572 and 8574

(i) The LCM of 8574 and 8572 is associative

LCM of 8572 and 8574 = LCM of 8574 and 8572

Related Least Common Multiples of 8572

Related Least Common Multiples of 8574

Frequently Asked Questions on LCM of 8572 and 8574

1. What is the LCM of 8572 and 8574?

Answer: LCM of 8572 and 8574 is 36748164.

2. What are the Factors of 8572?

Answer: Factors of 8572 are 1, 2, 4, 2143, 4286, 8572. There are 6 integers that are factors of 8572. The greatest factor of 8572 is 8572.

3. 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.

4. How to Find the LCM of 8572 and 8574?

Answer:

Least Common Multiple of 8572 and 8574 = 36748164

Step 1: Find the prime factorization of 8572

8572 = 2 x 2 x 2143

Step 2: Find the prime factorization of 8574

8574 = 2 x 3 x 1429

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

LCM = 36748164 = 2 x 2 x 3 x 1429 x 2143

Step 4: Therefore, the least common multiple of 8572 and 8574 is 36748164.