Least Common Multiple of 8648 and 8654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8648 and 8654 the smallest integer that is 37419896 that is divisible by both numbers.

Least Common Multiple (LCM) of 8648 and 8654 is 37419896.

LCM(8648,8654) = 37419896

LCM of 8648 and 8654

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

LCM of:
and

Least Common Multiple of 8648 and 8654

LCM of 8648 and 8654 is 37419896

Least common multiple can be found by multiplying the highest exponent prime factors of 8648 and 8654. First we will calculate the prime factors of 8648 and 8654.

Prime Factorization of 8648


2 8648
2 4324
2 2162
23 1081
47 47
1

Prime factors of 8648 are 2, 23,47. Prime factorization of 8648 in exponential form is:

8648 = 23×231×471

Prime Factorization of 8654


2 8654
4327 4327
1

Prime factors of 8654 are 2,4327. Prime factorization of 8654 in exponential form is:

8654 = 21×43271

Now multiplying the highest exponent prime factors to calculate the LCM of 8648 and 8654.

LCM(8648,8654) = 23×231×471×43271
LCM(8648,8654) = 37419896

Factors of 8648

List of positive integer factors of 8648 that divides 8648 without a remainder.

1, 2, 4, 8, 23, 46, 47, 92, 94, 184, 188, 376, 1081, 2162, 4324, 8648

Factors of 8654

List of positive integer factors of 8654 that divides 8654 without a remainder.

1, 2, 4327, 8654

Least Common Multiple of 8648 and 8654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8648 and 8654, than apply into the LCM equation.

GCF(8648,8654) = 2
LCM(8648,8654) = ( 8648 × 8654) / 2
LCM(8648,8654) = 74839792 / 2
LCM(8648,8654) = 37419896

Properties of LCM 8648 and 8654

(i) The LCM of 8654 and 8648 is associative

LCM of 8648 and 8654 = LCM of 8654 and 8648

Related Least Common Multiples of 8648

Related Least Common Multiples of 8654

Frequently Asked Questions on LCM of 8648 and 8654

1. What is the LCM of 8648 and 8654?

Answer: LCM of 8648 and 8654 is 37419896.

2. What are the Factors of 8648?

Answer: Factors of 8648 are 1, 2, 4, 8, 23, 46, 47, 92, 94, 184, 188, 376, 1081, 2162, 4324, 8648. There are 16 integers that are factors of 8648. The greatest factor of 8648 is 8648.

3. What are the Factors of 8654?

Answer: Factors of 8654 are 1, 2, 4327, 8654. There are 4 integers that are factors of 8654. The greatest factor of 8654 is 8654.

4. How to Find the LCM of 8648 and 8654?

Answer:

Least Common Multiple of 8648 and 8654 = 37419896

Step 1: Find the prime factorization of 8648

8648 = 2 x 2 x 2 x 23 x 47

Step 2: Find the prime factorization of 8654

8654 = 2 x 4327

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

LCM = 37419896 = 2 x 2 x 2 x 23 x 47 x 4327

Step 4: Therefore, the least common multiple of 8648 and 8654 is 37419896.