Least Common Multiple of 8610 and 8614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8610 and 8614 the smallest integer that is 37083270 that is divisible by both numbers.

Least Common Multiple (LCM) of 8610 and 8614 is 37083270.

LCM(8610,8614) = 37083270

LCM of 8610 and 8614

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

LCM of:
and

Least Common Multiple of 8610 and 8614

LCM of 8610 and 8614 is 37083270

Least common multiple can be found by multiplying the highest exponent prime factors of 8610 and 8614. First we will calculate the prime factors of 8610 and 8614.

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

Prime Factorization of 8614


2 8614
59 4307
73 73
1

Prime factors of 8614 are 2, 59,73. Prime factorization of 8614 in exponential form is:

8614 = 21×591×731

Now multiplying the highest exponent prime factors to calculate the LCM of 8610 and 8614.

LCM(8610,8614) = 21×31×51×71×411×591×731
LCM(8610,8614) = 37083270

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

Factors of 8614

List of positive integer factors of 8614 that divides 8614 without a remainder.

1, 2, 59, 73, 118, 146, 4307, 8614

Least Common Multiple of 8610 and 8614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8610 and 8614, than apply into the LCM equation.

GCF(8610,8614) = 2
LCM(8610,8614) = ( 8610 × 8614) / 2
LCM(8610,8614) = 74166540 / 2
LCM(8610,8614) = 37083270

Properties of LCM 8610 and 8614

(i) The LCM of 8614 and 8610 is associative

LCM of 8610 and 8614 = LCM of 8614 and 8610

Related Least Common Multiples of 8610

Related Least Common Multiples of 8614

Frequently Asked Questions on LCM of 8610 and 8614

1. What is the LCM of 8610 and 8614?

Answer: LCM of 8610 and 8614 is 37083270.

2. 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.

3. What are the Factors of 8614?

Answer: Factors of 8614 are 1, 2, 59, 73, 118, 146, 4307, 8614. There are 8 integers that are factors of 8614. The greatest factor of 8614 is 8614.

4. How to Find the LCM of 8610 and 8614?

Answer:

Least Common Multiple of 8610 and 8614 = 37083270

Step 1: Find the prime factorization of 8610

8610 = 2 x 3 x 5 x 7 x 41

Step 2: Find the prime factorization of 8614

8614 = 2 x 59 x 73

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

LCM = 37083270 = 2 x 3 x 5 x 7 x 41 x 59 x 73

Step 4: Therefore, the least common multiple of 8610 and 8614 is 37083270.