Least Common Multiple of 6680 and 6685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6680 and 6685 the smallest integer that is 8931160 that is divisible by both numbers.

Least Common Multiple (LCM) of 6680 and 6685 is 8931160.

LCM(6680,6685) = 8931160

LCM of 6680 and 6685

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

LCM of:
and

Least Common Multiple of 6680 and 6685

LCM of 6680 and 6685 is 8931160

Least common multiple can be found by multiplying the highest exponent prime factors of 6680 and 6685. First we will calculate the prime factors of 6680 and 6685.

Prime Factorization of 6680


2 6680
2 3340
2 1670
5 835
167 167
1

Prime factors of 6680 are 2, 5,167. Prime factorization of 6680 in exponential form is:

6680 = 23×51×1671

Prime Factorization of 6685


5 6685
7 1337
191 191
1

Prime factors of 6685 are 5, 7,191. Prime factorization of 6685 in exponential form is:

6685 = 51×71×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 6680 and 6685.

LCM(6680,6685) = 23×51×71×1671×1911
LCM(6680,6685) = 8931160

Factors of 6680

List of positive integer factors of 6680 that divides 6680 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 167, 334, 668, 835, 1336, 1670, 3340, 6680

Factors of 6685

List of positive integer factors of 6685 that divides 6685 without a remainder.

1, 5, 7, 35, 191, 955, 1337, 6685

Least Common Multiple of 6680 and 6685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6680 and 6685, than apply into the LCM equation.

GCF(6680,6685) = 5
LCM(6680,6685) = ( 6680 × 6685) / 5
LCM(6680,6685) = 44655800 / 5
LCM(6680,6685) = 8931160

Properties of LCM 6680 and 6685

(i) The LCM of 6685 and 6680 is associative

LCM of 6680 and 6685 = LCM of 6685 and 6680

Related Least Common Multiples of 6680

Related Least Common Multiples of 6685

Frequently Asked Questions on LCM of 6680 and 6685

1. What is the LCM of 6680 and 6685?

Answer: LCM of 6680 and 6685 is 8931160.

2. What are the Factors of 6680?

Answer: Factors of 6680 are 1, 2, 4, 5, 8, 10, 20, 40, 167, 334, 668, 835, 1336, 1670, 3340, 6680. There are 16 integers that are factors of 6680. The greatest factor of 6680 is 6680.

3. What are the Factors of 6685?

Answer: Factors of 6685 are 1, 5, 7, 35, 191, 955, 1337, 6685. There are 8 integers that are factors of 6685. The greatest factor of 6685 is 6685.

4. How to Find the LCM of 6680 and 6685?

Answer:

Least Common Multiple of 6680 and 6685 = 8931160

Step 1: Find the prime factorization of 6680

6680 = 2 x 2 x 2 x 5 x 167

Step 2: Find the prime factorization of 6685

6685 = 5 x 7 x 191

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

LCM = 8931160 = 2 x 2 x 2 x 5 x 7 x 167 x 191

Step 4: Therefore, the least common multiple of 6680 and 6685 is 8931160.