Least Common Multiple of 8658 and 8662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8658 and 8662 the smallest integer that is 37497798 that is divisible by both numbers.

Least Common Multiple (LCM) of 8658 and 8662 is 37497798.

LCM(8658,8662) = 37497798

LCM of 8658 and 8662

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

LCM of:
and

Least Common Multiple of 8658 and 8662

LCM of 8658 and 8662 is 37497798

Least common multiple can be found by multiplying the highest exponent prime factors of 8658 and 8662. First we will calculate the prime factors of 8658 and 8662.

Prime Factorization of 8658


2 8658
3 4329
3 1443
13 481
37 37
1

Prime factors of 8658 are 2, 3, 13,37. Prime factorization of 8658 in exponential form is:

8658 = 21×32×131×371

Prime Factorization of 8662


2 8662
61 4331
71 71
1

Prime factors of 8662 are 2, 61,71. Prime factorization of 8662 in exponential form is:

8662 = 21×611×711

Now multiplying the highest exponent prime factors to calculate the LCM of 8658 and 8662.

LCM(8658,8662) = 21×32×131×371×611×711
LCM(8658,8662) = 37497798

Factors of 8658

List of positive integer factors of 8658 that divides 8658 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658

Factors of 8662

List of positive integer factors of 8662 that divides 8662 without a remainder.

1, 2, 61, 71, 122, 142, 4331, 8662

Least Common Multiple of 8658 and 8662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8658 and 8662, than apply into the LCM equation.

GCF(8658,8662) = 2
LCM(8658,8662) = ( 8658 × 8662) / 2
LCM(8658,8662) = 74995596 / 2
LCM(8658,8662) = 37497798

Properties of LCM 8658 and 8662

(i) The LCM of 8662 and 8658 is associative

LCM of 8658 and 8662 = LCM of 8662 and 8658

Related Least Common Multiples of 8658

Related Least Common Multiples of 8662

Frequently Asked Questions on LCM of 8658 and 8662

1. What is the LCM of 8658 and 8662?

Answer: LCM of 8658 and 8662 is 37497798.

2. What are the Factors of 8658?

Answer: Factors of 8658 are 1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658. There are 24 integers that are factors of 8658. The greatest factor of 8658 is 8658.

3. What are the Factors of 8662?

Answer: Factors of 8662 are 1, 2, 61, 71, 122, 142, 4331, 8662. There are 8 integers that are factors of 8662. The greatest factor of 8662 is 8662.

4. How to Find the LCM of 8658 and 8662?

Answer:

Least Common Multiple of 8658 and 8662 = 37497798

Step 1: Find the prime factorization of 8658

8658 = 2 x 3 x 3 x 13 x 37

Step 2: Find the prime factorization of 8662

8662 = 2 x 61 x 71

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

LCM = 37497798 = 2 x 3 x 3 x 13 x 37 x 61 x 71

Step 4: Therefore, the least common multiple of 8658 and 8662 is 37497798.