Least Common Multiple of 8604 and 8610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8604 and 8610 the smallest integer that is 12346740 that is divisible by both numbers.

Least Common Multiple (LCM) of 8604 and 8610 is 12346740.

LCM(8604,8610) = 12346740

LCM of 8604 and 8610

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

LCM of:
and

Least Common Multiple of 8604 and 8610

LCM of 8604 and 8610 is 12346740

Least common multiple can be found by multiplying the highest exponent prime factors of 8604 and 8610. First we will calculate the prime factors of 8604 and 8610.

Prime Factorization of 8604


2 8604
2 4302
3 2151
3 717
239 239
1

Prime factors of 8604 are 2, 3,239. Prime factorization of 8604 in exponential form is:

8604 = 22×32×2391

Prime Factorization of 8610


2 8610
3 4305
5 1435
7 287
41 41
1

Prime factors of 8610 are 2, 3, 5, 7,41. Prime factorization of 8610 in exponential form is:

8610 = 21×31×51×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 8604 and 8610.

LCM(8604,8610) = 22×32×51×71×411×2391
LCM(8604,8610) = 12346740

Factors of 8604

List of positive integer factors of 8604 that divides 8604 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 239, 478, 717, 956, 1434, 2151, 2868, 4302, 8604

Factors of 8610

List of positive integer factors of 8610 that divides 8610 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305, 8610

Least Common Multiple of 8604 and 8610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8604 and 8610, than apply into the LCM equation.

GCF(8604,8610) = 6
LCM(8604,8610) = ( 8604 × 8610) / 6
LCM(8604,8610) = 74080440 / 6
LCM(8604,8610) = 12346740

Properties of LCM 8604 and 8610

(i) The LCM of 8610 and 8604 is associative

LCM of 8604 and 8610 = LCM of 8610 and 8604

Related Least Common Multiples of 8604

Related Least Common Multiples of 8610

Frequently Asked Questions on LCM of 8604 and 8610

1. What is the LCM of 8604 and 8610?

Answer: LCM of 8604 and 8610 is 12346740.

2. What are the Factors of 8604?

Answer: Factors of 8604 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 239, 478, 717, 956, 1434, 2151, 2868, 4302, 8604. There are 18 integers that are factors of 8604. The greatest factor of 8604 is 8604.

3. What are the Factors of 8610?

Answer: Factors of 8610 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305, 8610. There are 32 integers that are factors of 8610. The greatest factor of 8610 is 8610.

4. How to Find the LCM of 8604 and 8610?

Answer:

Least Common Multiple of 8604 and 8610 = 12346740

Step 1: Find the prime factorization of 8604

8604 = 2 x 2 x 3 x 3 x 239

Step 2: Find the prime factorization of 8610

8610 = 2 x 3 x 5 x 7 x 41

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

LCM = 12346740 = 2 x 2 x 3 x 3 x 5 x 7 x 41 x 239

Step 4: Therefore, the least common multiple of 8604 and 8610 is 12346740.