Least Common Multiple of 8690 and 8696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8690 and 8696 the smallest integer that is 37784120 that is divisible by both numbers.

Least Common Multiple (LCM) of 8690 and 8696 is 37784120.

LCM(8690,8696) = 37784120

LCM of 8690 and 8696

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

LCM of:
and

Least Common Multiple of 8690 and 8696

LCM of 8690 and 8696 is 37784120

Least common multiple can be found by multiplying the highest exponent prime factors of 8690 and 8696. First we will calculate the prime factors of 8690 and 8696.

Prime Factorization of 8690


2 8690
5 4345
11 869
79 79
1

Prime factors of 8690 are 2, 5, 11,79. Prime factorization of 8690 in exponential form is:

8690 = 21×51×111×791

Prime Factorization of 8696


2 8696
2 4348
2 2174
1087 1087
1

Prime factors of 8696 are 2,1087. Prime factorization of 8696 in exponential form is:

8696 = 23×10871

Now multiplying the highest exponent prime factors to calculate the LCM of 8690 and 8696.

LCM(8690,8696) = 23×51×111×791×10871
LCM(8690,8696) = 37784120

Factors of 8690

List of positive integer factors of 8690 that divides 8690 without a remainder.

1, 2, 5, 10, 11, 22, 55, 79, 110, 158, 395, 790, 869, 1738, 4345, 8690

Factors of 8696

List of positive integer factors of 8696 that divides 8696 without a remainder.

1, 2, 4, 8, 1087, 2174, 4348, 8696

Least Common Multiple of 8690 and 8696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8690 and 8696, than apply into the LCM equation.

GCF(8690,8696) = 2
LCM(8690,8696) = ( 8690 × 8696) / 2
LCM(8690,8696) = 75568240 / 2
LCM(8690,8696) = 37784120

Properties of LCM 8690 and 8696

(i) The LCM of 8696 and 8690 is associative

LCM of 8690 and 8696 = LCM of 8696 and 8690

Related Least Common Multiples of 8690

Related Least Common Multiples of 8696

Frequently Asked Questions on LCM of 8690 and 8696

1. What is the LCM of 8690 and 8696?

Answer: LCM of 8690 and 8696 is 37784120.

2. What are the Factors of 8690?

Answer: Factors of 8690 are 1, 2, 5, 10, 11, 22, 55, 79, 110, 158, 395, 790, 869, 1738, 4345, 8690. There are 16 integers that are factors of 8690. The greatest factor of 8690 is 8690.

3. What are the Factors of 8696?

Answer: Factors of 8696 are 1, 2, 4, 8, 1087, 2174, 4348, 8696. There are 8 integers that are factors of 8696. The greatest factor of 8696 is 8696.

4. How to Find the LCM of 8690 and 8696?

Answer:

Least Common Multiple of 8690 and 8696 = 37784120

Step 1: Find the prime factorization of 8690

8690 = 2 x 5 x 11 x 79

Step 2: Find the prime factorization of 8696

8696 = 2 x 2 x 2 x 1087

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

LCM = 37784120 = 2 x 2 x 2 x 5 x 11 x 79 x 1087

Step 4: Therefore, the least common multiple of 8690 and 8696 is 37784120.