Least Common Multiple of 8646 and 8653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8646 and 8653 the smallest integer that is 74813838 that is divisible by both numbers.

Least Common Multiple (LCM) of 8646 and 8653 is 74813838.

LCM(8646,8653) = 74813838

LCM of 8646 and 8653

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

LCM of:
and

Least Common Multiple of 8646 and 8653

LCM of 8646 and 8653 is 74813838

Least common multiple can be found by multiplying the highest exponent prime factors of 8646 and 8653. First we will calculate the prime factors of 8646 and 8653.

Prime Factorization of 8646


2 8646
3 4323
11 1441
131 131
1

Prime factors of 8646 are 2, 3, 11,131. Prime factorization of 8646 in exponential form is:

8646 = 21×31×111×1311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8646 and 8653.

LCM(8646,8653) = 21×31×111×171×1311×5091
LCM(8646,8653) = 74813838

Factors of 8646

List of positive integer factors of 8646 that divides 8646 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 131, 262, 393, 786, 1441, 2882, 4323, 8646

Factors of 8653

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

1, 17, 509, 8653

Least Common Multiple of 8646 and 8653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8646 and 8653, than apply into the LCM equation.

GCF(8646,8653) = 1
LCM(8646,8653) = ( 8646 × 8653) / 1
LCM(8646,8653) = 74813838 / 1
LCM(8646,8653) = 74813838

Properties of LCM 8646 and 8653

(i) The LCM of 8653 and 8646 is associative

LCM of 8646 and 8653 = LCM of 8653 and 8646

Related Least Common Multiples of 8646

Related Least Common Multiples of 8653

Frequently Asked Questions on LCM of 8646 and 8653

1. What is the LCM of 8646 and 8653?

Answer: LCM of 8646 and 8653 is 74813838.

2. What are the Factors of 8646?

Answer: Factors of 8646 are 1, 2, 3, 6, 11, 22, 33, 66, 131, 262, 393, 786, 1441, 2882, 4323, 8646. There are 16 integers that are factors of 8646. The greatest factor of 8646 is 8646.

3. 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.

4. How to Find the LCM of 8646 and 8653?

Answer:

Least Common Multiple of 8646 and 8653 = 74813838

Step 1: Find the prime factorization of 8646

8646 = 2 x 3 x 11 x 131

Step 2: Find the prime factorization of 8653

8653 = 17 x 509

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

LCM = 74813838 = 2 x 3 x 11 x 17 x 131 x 509

Step 4: Therefore, the least common multiple of 8646 and 8653 is 74813838.