Least Common Multiple of 8574 and 8575

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 8575 the smallest integer that is 73522050 that is divisible by both numbers.

Least Common Multiple (LCM) of 8574 and 8575 is 73522050.

LCM(8574,8575) = 73522050

LCM of 8574 and 8575

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

LCM of:
and

Least Common Multiple of 8574 and 8575

LCM of 8574 and 8575 is 73522050

Least common multiple can be found by multiplying the highest exponent prime factors of 8574 and 8575. First we will calculate the prime factors of 8574 and 8575.

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 8575


5 8575
5 1715
7 343
7 49
7 7
1

Prime factors of 8575 are 5,7. Prime factorization of 8575 in exponential form is:

8575 = 52×73

Now multiplying the highest exponent prime factors to calculate the LCM of 8574 and 8575.

LCM(8574,8575) = 21×31×52×73×14291
LCM(8574,8575) = 73522050

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 8575

List of positive integer factors of 8575 that divides 8575 without a remainder.

1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715, 8575

Least Common Multiple of 8574 and 8575 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 8575, than apply into the LCM equation.

GCF(8574,8575) = 1
LCM(8574,8575) = ( 8574 × 8575) / 1
LCM(8574,8575) = 73522050 / 1
LCM(8574,8575) = 73522050

Properties of LCM 8574 and 8575

(i) The LCM of 8575 and 8574 is associative

LCM of 8574 and 8575 = LCM of 8575 and 8574

Related Least Common Multiples of 8574

Related Least Common Multiples of 8575

Frequently Asked Questions on LCM of 8574 and 8575

1. What is the LCM of 8574 and 8575?

Answer: LCM of 8574 and 8575 is 73522050.

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 8575?

Answer: Factors of 8575 are 1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715, 8575. There are 12 integers that are factors of 8575. The greatest factor of 8575 is 8575.

4. How to Find the LCM of 8574 and 8575?

Answer:

Least Common Multiple of 8574 and 8575 = 73522050

Step 1: Find the prime factorization of 8574

8574 = 2 x 3 x 1429

Step 2: Find the prime factorization of 8575

8575 = 5 x 5 x 7 x 7 x 7

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

LCM = 73522050 = 2 x 3 x 5 x 5 x 7 x 7 x 7 x 1429

Step 4: Therefore, the least common multiple of 8574 and 8575 is 73522050.