Least Common Multiple of 8570 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 8570 and 8574 the smallest integer that is 36739590 that is divisible by both numbers.

Least Common Multiple (LCM) of 8570 and 8574 is 36739590.

LCM(8570,8574) = 36739590

LCM of 8570 and 8574

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

LCM of:
and

Least Common Multiple of 8570 and 8574

LCM of 8570 and 8574 is 36739590

Least common multiple can be found by multiplying the highest exponent prime factors of 8570 and 8574. First we will calculate the prime factors of 8570 and 8574.

Prime Factorization of 8570


2 8570
5 4285
857 857
1

Prime factors of 8570 are 2, 5,857. Prime factorization of 8570 in exponential form is:

8570 = 21×51×8571

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 8570 and 8574.

LCM(8570,8574) = 21×31×51×8571×14291
LCM(8570,8574) = 36739590

Factors of 8570

List of positive integer factors of 8570 that divides 8570 without a remainder.

1, 2, 5, 10, 857, 1714, 4285, 8570

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 8570 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 8570 and 8574, than apply into the LCM equation.

GCF(8570,8574) = 2
LCM(8570,8574) = ( 8570 × 8574) / 2
LCM(8570,8574) = 73479180 / 2
LCM(8570,8574) = 36739590

Properties of LCM 8570 and 8574

(i) The LCM of 8574 and 8570 is associative

LCM of 8570 and 8574 = LCM of 8574 and 8570

Related Least Common Multiples of 8570

Related Least Common Multiples of 8574

Frequently Asked Questions on LCM of 8570 and 8574

1. What is the LCM of 8570 and 8574?

Answer: LCM of 8570 and 8574 is 36739590.

2. What are the Factors of 8570?

Answer: Factors of 8570 are 1, 2, 5, 10, 857, 1714, 4285, 8570. There are 8 integers that are factors of 8570. The greatest factor of 8570 is 8570.

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 8570 and 8574?

Answer:

Least Common Multiple of 8570 and 8574 = 36739590

Step 1: Find the prime factorization of 8570

8570 = 2 x 5 x 857

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 = 36739590 = 2 x 3 x 5 x 857 x 1429

Step 4: Therefore, the least common multiple of 8570 and 8574 is 36739590.