Least Common Multiple of 8574 and 8579

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 8579 the smallest integer that is 73556346 that is divisible by both numbers.

Least Common Multiple (LCM) of 8574 and 8579 is 73556346.

LCM(8574,8579) = 73556346

LCM of 8574 and 8579

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

LCM of:
and

Least Common Multiple of 8574 and 8579

LCM of 8574 and 8579 is 73556346

Least common multiple can be found by multiplying the highest exponent prime factors of 8574 and 8579. First we will calculate the prime factors of 8574 and 8579.

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 8579


23 8579
373 373
1

Prime factors of 8579 are 23,373. Prime factorization of 8579 in exponential form is:

8579 = 231×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 8574 and 8579.

LCM(8574,8579) = 21×31×231×3731×14291
LCM(8574,8579) = 73556346

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 8579

List of positive integer factors of 8579 that divides 8579 without a remainder.

1, 23, 373, 8579

Least Common Multiple of 8574 and 8579 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 8579, than apply into the LCM equation.

GCF(8574,8579) = 1
LCM(8574,8579) = ( 8574 × 8579) / 1
LCM(8574,8579) = 73556346 / 1
LCM(8574,8579) = 73556346

Properties of LCM 8574 and 8579

(i) The LCM of 8579 and 8574 is associative

LCM of 8574 and 8579 = LCM of 8579 and 8574

Related Least Common Multiples of 8574

Related Least Common Multiples of 8579

Frequently Asked Questions on LCM of 8574 and 8579

1. What is the LCM of 8574 and 8579?

Answer: LCM of 8574 and 8579 is 73556346.

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 8579?

Answer: Factors of 8579 are 1, 23, 373, 8579. There are 4 integers that are factors of 8579. The greatest factor of 8579 is 8579.

4. How to Find the LCM of 8574 and 8579?

Answer:

Least Common Multiple of 8574 and 8579 = 73556346

Step 1: Find the prime factorization of 8574

8574 = 2 x 3 x 1429

Step 2: Find the prime factorization of 8579

8579 = 23 x 373

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

LCM = 73556346 = 2 x 3 x 23 x 373 x 1429

Step 4: Therefore, the least common multiple of 8574 and 8579 is 73556346.