Least Common Multiple of 8653 and 8661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8653 and 8661 the smallest integer that is 74943633 that is divisible by both numbers.

Least Common Multiple (LCM) of 8653 and 8661 is 74943633.

LCM(8653,8661) = 74943633

LCM of 8653 and 8661

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

LCM of:
and

Least Common Multiple of 8653 and 8661

LCM of 8653 and 8661 is 74943633

Least common multiple can be found by multiplying the highest exponent prime factors of 8653 and 8661. First we will calculate the prime factors of 8653 and 8661.

Prime Factorization of 8653


17 8653
509 509
1

Prime factors of 8653 are 17,509. Prime factorization of 8653 in exponential form is:

8653 = 171×5091

Prime Factorization of 8661


3 8661
2887 2887
1

Prime factors of 8661 are 3,2887. Prime factorization of 8661 in exponential form is:

8661 = 31×28871

Now multiplying the highest exponent prime factors to calculate the LCM of 8653 and 8661.

LCM(8653,8661) = 31×171×5091×28871
LCM(8653,8661) = 74943633

Factors of 8653

List of positive integer factors of 8653 that divides 8653 without a remainder.

1, 17, 509, 8653

Factors of 8661

List of positive integer factors of 8661 that divides 8661 without a remainder.

1, 3, 2887, 8661

Least Common Multiple of 8653 and 8661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8653 and 8661, than apply into the LCM equation.

GCF(8653,8661) = 1
LCM(8653,8661) = ( 8653 × 8661) / 1
LCM(8653,8661) = 74943633 / 1
LCM(8653,8661) = 74943633

Properties of LCM 8653 and 8661

(i) The LCM of 8661 and 8653 is associative

LCM of 8653 and 8661 = LCM of 8661 and 8653

Related Least Common Multiples of 8653

Related Least Common Multiples of 8661

Frequently Asked Questions on LCM of 8653 and 8661

1. What is the LCM of 8653 and 8661?

Answer: LCM of 8653 and 8661 is 74943633.

2. What are the Factors of 8653?

Answer: Factors of 8653 are 1, 17, 509, 8653. There are 4 integers that are factors of 8653. The greatest factor of 8653 is 8653.

3. What are the Factors of 8661?

Answer: Factors of 8661 are 1, 3, 2887, 8661. There are 4 integers that are factors of 8661. The greatest factor of 8661 is 8661.

4. How to Find the LCM of 8653 and 8661?

Answer:

Least Common Multiple of 8653 and 8661 = 74943633

Step 1: Find the prime factorization of 8653

8653 = 17 x 509

Step 2: Find the prime factorization of 8661

8661 = 3 x 2887

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

LCM = 74943633 = 3 x 17 x 509 x 2887

Step 4: Therefore, the least common multiple of 8653 and 8661 is 74943633.