Least Common Multiple of 8683 and 8688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8683 and 8688 the smallest integer that is 75437904 that is divisible by both numbers.

Least Common Multiple (LCM) of 8683 and 8688 is 75437904.

LCM(8683,8688) = 75437904

LCM of 8683 and 8688

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

LCM of:
and

Least Common Multiple of 8683 and 8688

LCM of 8683 and 8688 is 75437904

Least common multiple can be found by multiplying the highest exponent prime factors of 8683 and 8688. First we will calculate the prime factors of 8683 and 8688.

Prime Factorization of 8683


19 8683
457 457
1

Prime factors of 8683 are 19,457. Prime factorization of 8683 in exponential form is:

8683 = 191×4571

Prime Factorization of 8688


2 8688
2 4344
2 2172
2 1086
3 543
181 181
1

Prime factors of 8688 are 2, 3,181. Prime factorization of 8688 in exponential form is:

8688 = 24×31×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 8683 and 8688.

LCM(8683,8688) = 24×31×191×1811×4571
LCM(8683,8688) = 75437904

Factors of 8683

List of positive integer factors of 8683 that divides 8683 without a remainder.

1, 19, 457, 8683

Factors of 8688

List of positive integer factors of 8688 that divides 8688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 8688

Least Common Multiple of 8683 and 8688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8683 and 8688, than apply into the LCM equation.

GCF(8683,8688) = 1
LCM(8683,8688) = ( 8683 × 8688) / 1
LCM(8683,8688) = 75437904 / 1
LCM(8683,8688) = 75437904

Properties of LCM 8683 and 8688

(i) The LCM of 8688 and 8683 is associative

LCM of 8683 and 8688 = LCM of 8688 and 8683

Related Least Common Multiples of 8683

Related Least Common Multiples of 8688

Frequently Asked Questions on LCM of 8683 and 8688

1. What is the LCM of 8683 and 8688?

Answer: LCM of 8683 and 8688 is 75437904.

2. What are the Factors of 8683?

Answer: Factors of 8683 are 1, 19, 457, 8683. There are 4 integers that are factors of 8683. The greatest factor of 8683 is 8683.

3. What are the Factors of 8688?

Answer: Factors of 8688 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 8688. There are 20 integers that are factors of 8688. The greatest factor of 8688 is 8688.

4. How to Find the LCM of 8683 and 8688?

Answer:

Least Common Multiple of 8683 and 8688 = 75437904

Step 1: Find the prime factorization of 8683

8683 = 19 x 457

Step 2: Find the prime factorization of 8688

8688 = 2 x 2 x 2 x 2 x 3 x 181

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

LCM = 75437904 = 2 x 2 x 2 x 2 x 3 x 19 x 181 x 457

Step 4: Therefore, the least common multiple of 8683 and 8688 is 75437904.