Least Common Multiple of 8654 and 8655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8654 and 8655 the smallest integer that is 74900370 that is divisible by both numbers.

Least Common Multiple (LCM) of 8654 and 8655 is 74900370.

LCM(8654,8655) = 74900370

LCM of 8654 and 8655

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

LCM of:
and

Least Common Multiple of 8654 and 8655

LCM of 8654 and 8655 is 74900370

Least common multiple can be found by multiplying the highest exponent prime factors of 8654 and 8655. First we will calculate the prime factors of 8654 and 8655.

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

Prime Factorization of 8655


3 8655
5 2885
577 577
1

Prime factors of 8655 are 3, 5,577. Prime factorization of 8655 in exponential form is:

8655 = 31×51×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 8654 and 8655.

LCM(8654,8655) = 21×31×51×5771×43271
LCM(8654,8655) = 74900370

Factors of 8654

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

1, 2, 4327, 8654

Factors of 8655

List of positive integer factors of 8655 that divides 8655 without a remainder.

1, 3, 5, 15, 577, 1731, 2885, 8655

Least Common Multiple of 8654 and 8655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8654 and 8655, than apply into the LCM equation.

GCF(8654,8655) = 1
LCM(8654,8655) = ( 8654 × 8655) / 1
LCM(8654,8655) = 74900370 / 1
LCM(8654,8655) = 74900370

Properties of LCM 8654 and 8655

(i) The LCM of 8655 and 8654 is associative

LCM of 8654 and 8655 = LCM of 8655 and 8654

Related Least Common Multiples of 8654

Related Least Common Multiples of 8655

Frequently Asked Questions on LCM of 8654 and 8655

1. What is the LCM of 8654 and 8655?

Answer: LCM of 8654 and 8655 is 74900370.

2. 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.

3. What are the Factors of 8655?

Answer: Factors of 8655 are 1, 3, 5, 15, 577, 1731, 2885, 8655. There are 8 integers that are factors of 8655. The greatest factor of 8655 is 8655.

4. How to Find the LCM of 8654 and 8655?

Answer:

Least Common Multiple of 8654 and 8655 = 74900370

Step 1: Find the prime factorization of 8654

8654 = 2 x 4327

Step 2: Find the prime factorization of 8655

8655 = 3 x 5 x 577

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

LCM = 74900370 = 2 x 3 x 5 x 577 x 4327

Step 4: Therefore, the least common multiple of 8654 and 8655 is 74900370.