Least Common Multiple of 8656 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 8656 and 8662 the smallest integer that is 37489136 that is divisible by both numbers.

Least Common Multiple (LCM) of 8656 and 8662 is 37489136.

LCM(8656,8662) = 37489136

LCM of 8656 and 8662

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

LCM of:
and

Least Common Multiple of 8656 and 8662

LCM of 8656 and 8662 is 37489136

Least common multiple can be found by multiplying the highest exponent prime factors of 8656 and 8662. First we will calculate the prime factors of 8656 and 8662.

Prime Factorization of 8656


2 8656
2 4328
2 2164
2 1082
541 541
1

Prime factors of 8656 are 2,541. Prime factorization of 8656 in exponential form is:

8656 = 24×5411

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 8656 and 8662.

LCM(8656,8662) = 24×611×711×5411
LCM(8656,8662) = 37489136

Factors of 8656

List of positive integer factors of 8656 that divides 8656 without a remainder.

1, 2, 4, 8, 16, 541, 1082, 2164, 4328, 8656

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 8656 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 8656 and 8662, than apply into the LCM equation.

GCF(8656,8662) = 2
LCM(8656,8662) = ( 8656 × 8662) / 2
LCM(8656,8662) = 74978272 / 2
LCM(8656,8662) = 37489136

Properties of LCM 8656 and 8662

(i) The LCM of 8662 and 8656 is associative

LCM of 8656 and 8662 = LCM of 8662 and 8656

Related Least Common Multiples of 8656

Related Least Common Multiples of 8662

Frequently Asked Questions on LCM of 8656 and 8662

1. What is the LCM of 8656 and 8662?

Answer: LCM of 8656 and 8662 is 37489136.

2. What are the Factors of 8656?

Answer: Factors of 8656 are 1, 2, 4, 8, 16, 541, 1082, 2164, 4328, 8656. There are 10 integers that are factors of 8656. The greatest factor of 8656 is 8656.

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 8656 and 8662?

Answer:

Least Common Multiple of 8656 and 8662 = 37489136

Step 1: Find the prime factorization of 8656

8656 = 2 x 2 x 2 x 2 x 541

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 = 37489136 = 2 x 2 x 2 x 2 x 61 x 71 x 541

Step 4: Therefore, the least common multiple of 8656 and 8662 is 37489136.