Least Common Multiple of 680 and 685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 680 and 685 the smallest integer that is 93160 that is divisible by both numbers.

Least Common Multiple (LCM) of 680 and 685 is 93160.

LCM(680,685) = 93160

LCM of 680 and 685

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

LCM of:
and

Least Common Multiple of 680 and 685

LCM of 680 and 685 is 93160

Least common multiple can be found by multiplying the highest exponent prime factors of 680 and 685. First we will calculate the prime factors of 680 and 685.

Prime Factorization of 680


2 680
2 340
2 170
5 85
17 17
1

Prime factors of 680 are 2, 5,17. Prime factorization of 680 in exponential form is:

680 = 23×51×171

Prime Factorization of 685


5 685
137 137
1

Prime factors of 685 are 5,137. Prime factorization of 685 in exponential form is:

685 = 51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 680 and 685.

LCM(680,685) = 23×51×171×1371
LCM(680,685) = 93160

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Least Common Multiple of 680 and 685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 680 and 685, than apply into the LCM equation.

GCF(680,685) = 5
LCM(680,685) = ( 680 × 685) / 5
LCM(680,685) = 465800 / 5
LCM(680,685) = 93160

Properties of LCM 680 and 685

(i) The LCM of 685 and 680 is associative

LCM of 680 and 685 = LCM of 685 and 680

Related Least Common Multiples of 680

Related Least Common Multiples of 685

Frequently Asked Questions on LCM of 680 and 685

1. What is the LCM of 680 and 685?

Answer: LCM of 680 and 685 is 93160.

2. What are the Factors of 680?

Answer: Factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680. There are 16 integers that are factors of 680. The greatest factor of 680 is 680.

3. What are the Factors of 685?

Answer: Factors of 685 are 1, 5, 137, 685. There are 4 integers that are factors of 685. The greatest factor of 685 is 685.

4. How to Find the LCM of 680 and 685?

Answer:

Least Common Multiple of 680 and 685 = 93160

Step 1: Find the prime factorization of 680

680 = 2 x 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 685

685 = 5 x 137

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

LCM = 93160 = 2 x 2 x 2 x 5 x 17 x 137

Step 4: Therefore, the least common multiple of 680 and 685 is 93160.