Least Common Multiple of 8680 and 8685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8680 and 8685 the smallest integer that is 15077160 that is divisible by both numbers.

Least Common Multiple (LCM) of 8680 and 8685 is 15077160.

LCM(8680,8685) = 15077160

LCM of 8680 and 8685

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

LCM of:
and

Least Common Multiple of 8680 and 8685

LCM of 8680 and 8685 is 15077160

Least common multiple can be found by multiplying the highest exponent prime factors of 8680 and 8685. First we will calculate the prime factors of 8680 and 8685.

Prime Factorization of 8680


2 8680
2 4340
2 2170
5 1085
7 217
31 31
1

Prime factors of 8680 are 2, 5, 7,31. Prime factorization of 8680 in exponential form is:

8680 = 23×51×71×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8680 and 8685.

LCM(8680,8685) = 23×32×51×71×311×1931
LCM(8680,8685) = 15077160

Factors of 8680

List of positive integer factors of 8680 that divides 8680 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340, 8680

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

Least Common Multiple of 8680 and 8685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8680 and 8685, than apply into the LCM equation.

GCF(8680,8685) = 5
LCM(8680,8685) = ( 8680 × 8685) / 5
LCM(8680,8685) = 75385800 / 5
LCM(8680,8685) = 15077160

Properties of LCM 8680 and 8685

(i) The LCM of 8685 and 8680 is associative

LCM of 8680 and 8685 = LCM of 8685 and 8680

Related Least Common Multiples of 8680

Related Least Common Multiples of 8685

Frequently Asked Questions on LCM of 8680 and 8685

1. What is the LCM of 8680 and 8685?

Answer: LCM of 8680 and 8685 is 15077160.

2. What are the Factors of 8680?

Answer: Factors of 8680 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340, 8680. There are 32 integers that are factors of 8680. The greatest factor of 8680 is 8680.

3. 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.

4. How to Find the LCM of 8680 and 8685?

Answer:

Least Common Multiple of 8680 and 8685 = 15077160

Step 1: Find the prime factorization of 8680

8680 = 2 x 2 x 2 x 5 x 7 x 31

Step 2: Find the prime factorization of 8685

8685 = 3 x 3 x 5 x 193

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

LCM = 15077160 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 31 x 193

Step 4: Therefore, the least common multiple of 8680 and 8685 is 15077160.