Least Common Multiple of 8685 and 8690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8685 and 8690 the smallest integer that is 15094530 that is divisible by both numbers.

Least Common Multiple (LCM) of 8685 and 8690 is 15094530.

LCM(8685,8690) = 15094530

LCM of 8685 and 8690

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

LCM of:
and

Least Common Multiple of 8685 and 8690

LCM of 8685 and 8690 is 15094530

Least common multiple can be found by multiplying the highest exponent prime factors of 8685 and 8690. First we will calculate the prime factors of 8685 and 8690.

Prime Factorization of 8685


3 8685
3 2895
5 965
193 193
1

Prime factors of 8685 are 3, 5,193. Prime factorization of 8685 in exponential form is:

8685 = 32×51×1931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8685 and 8690.

LCM(8685,8690) = 21×32×51×111×791×1931
LCM(8685,8690) = 15094530

Factors of 8685

List of positive integer factors of 8685 that divides 8685 without a remainder.

1, 3, 5, 9, 15, 45, 193, 579, 965, 1737, 2895, 8685

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

Least Common Multiple of 8685 and 8690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8685 and 8690, than apply into the LCM equation.

GCF(8685,8690) = 5
LCM(8685,8690) = ( 8685 × 8690) / 5
LCM(8685,8690) = 75472650 / 5
LCM(8685,8690) = 15094530

Properties of LCM 8685 and 8690

(i) The LCM of 8690 and 8685 is associative

LCM of 8685 and 8690 = LCM of 8690 and 8685

Related Least Common Multiples of 8685

Related Least Common Multiples of 8690

Frequently Asked Questions on LCM of 8685 and 8690

1. What is the LCM of 8685 and 8690?

Answer: LCM of 8685 and 8690 is 15094530.

2. What are the Factors of 8685?

Answer: Factors of 8685 are 1, 3, 5, 9, 15, 45, 193, 579, 965, 1737, 2895, 8685. There are 12 integers that are factors of 8685. The greatest factor of 8685 is 8685.

3. 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.

4. How to Find the LCM of 8685 and 8690?

Answer:

Least Common Multiple of 8685 and 8690 = 15094530

Step 1: Find the prime factorization of 8685

8685 = 3 x 3 x 5 x 193

Step 2: Find the prime factorization of 8690

8690 = 2 x 5 x 11 x 79

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

LCM = 15094530 = 2 x 3 x 3 x 5 x 11 x 79 x 193

Step 4: Therefore, the least common multiple of 8685 and 8690 is 15094530.