Least Common Multiple of 8653 and 8660

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 8660 the smallest integer that is 74934980 that is divisible by both numbers.

Least Common Multiple (LCM) of 8653 and 8660 is 74934980.

LCM(8653,8660) = 74934980

LCM of 8653 and 8660

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

LCM of:
and

Least Common Multiple of 8653 and 8660

LCM of 8653 and 8660 is 74934980

Least common multiple can be found by multiplying the highest exponent prime factors of 8653 and 8660. First we will calculate the prime factors of 8653 and 8660.

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 8660


2 8660
2 4330
5 2165
433 433
1

Prime factors of 8660 are 2, 5,433. Prime factorization of 8660 in exponential form is:

8660 = 22×51×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 8653 and 8660.

LCM(8653,8660) = 22×51×171×4331×5091
LCM(8653,8660) = 74934980

Factors of 8653

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

1, 17, 509, 8653

Factors of 8660

List of positive integer factors of 8660 that divides 8660 without a remainder.

1, 2, 4, 5, 10, 20, 433, 866, 1732, 2165, 4330, 8660

Least Common Multiple of 8653 and 8660 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 8660, than apply into the LCM equation.

GCF(8653,8660) = 1
LCM(8653,8660) = ( 8653 × 8660) / 1
LCM(8653,8660) = 74934980 / 1
LCM(8653,8660) = 74934980

Properties of LCM 8653 and 8660

(i) The LCM of 8660 and 8653 is associative

LCM of 8653 and 8660 = LCM of 8660 and 8653

Related Least Common Multiples of 8653

Related Least Common Multiples of 8660

Frequently Asked Questions on LCM of 8653 and 8660

1. What is the LCM of 8653 and 8660?

Answer: LCM of 8653 and 8660 is 74934980.

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 8660?

Answer: Factors of 8660 are 1, 2, 4, 5, 10, 20, 433, 866, 1732, 2165, 4330, 8660. There are 12 integers that are factors of 8660. The greatest factor of 8660 is 8660.

4. How to Find the LCM of 8653 and 8660?

Answer:

Least Common Multiple of 8653 and 8660 = 74934980

Step 1: Find the prime factorization of 8653

8653 = 17 x 509

Step 2: Find the prime factorization of 8660

8660 = 2 x 2 x 5 x 433

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

LCM = 74934980 = 2 x 2 x 5 x 17 x 433 x 509

Step 4: Therefore, the least common multiple of 8653 and 8660 is 74934980.