Least Common Multiple of 6980 and 6986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6980 and 6986 the smallest integer that is 24381140 that is divisible by both numbers.

Least Common Multiple (LCM) of 6980 and 6986 is 24381140.

LCM(6980,6986) = 24381140

LCM of 6980 and 6986

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

LCM of:
and

Least Common Multiple of 6980 and 6986

LCM of 6980 and 6986 is 24381140

Least common multiple can be found by multiplying the highest exponent prime factors of 6980 and 6986. First we will calculate the prime factors of 6980 and 6986.

Prime Factorization of 6980


2 6980
2 3490
5 1745
349 349
1

Prime factors of 6980 are 2, 5,349. Prime factorization of 6980 in exponential form is:

6980 = 22×51×3491

Prime Factorization of 6986


2 6986
7 3493
499 499
1

Prime factors of 6986 are 2, 7,499. Prime factorization of 6986 in exponential form is:

6986 = 21×71×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 6980 and 6986.

LCM(6980,6986) = 22×51×71×3491×4991
LCM(6980,6986) = 24381140

Factors of 6980

List of positive integer factors of 6980 that divides 6980 without a remainder.

1, 2, 4, 5, 10, 20, 349, 698, 1396, 1745, 3490, 6980

Factors of 6986

List of positive integer factors of 6986 that divides 6986 without a remainder.

1, 2, 7, 14, 499, 998, 3493, 6986

Least Common Multiple of 6980 and 6986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6980 and 6986, than apply into the LCM equation.

GCF(6980,6986) = 2
LCM(6980,6986) = ( 6980 × 6986) / 2
LCM(6980,6986) = 48762280 / 2
LCM(6980,6986) = 24381140

Properties of LCM 6980 and 6986

(i) The LCM of 6986 and 6980 is associative

LCM of 6980 and 6986 = LCM of 6986 and 6980

Related Least Common Multiples of 6980

Related Least Common Multiples of 6986

Frequently Asked Questions on LCM of 6980 and 6986

1. What is the LCM of 6980 and 6986?

Answer: LCM of 6980 and 6986 is 24381140.

2. What are the Factors of 6980?

Answer: Factors of 6980 are 1, 2, 4, 5, 10, 20, 349, 698, 1396, 1745, 3490, 6980. There are 12 integers that are factors of 6980. The greatest factor of 6980 is 6980.

3. What are the Factors of 6986?

Answer: Factors of 6986 are 1, 2, 7, 14, 499, 998, 3493, 6986. There are 8 integers that are factors of 6986. The greatest factor of 6986 is 6986.

4. How to Find the LCM of 6980 and 6986?

Answer:

Least Common Multiple of 6980 and 6986 = 24381140

Step 1: Find the prime factorization of 6980

6980 = 2 x 2 x 5 x 349

Step 2: Find the prime factorization of 6986

6986 = 2 x 7 x 499

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

LCM = 24381140 = 2 x 2 x 5 x 7 x 349 x 499

Step 4: Therefore, the least common multiple of 6980 and 6986 is 24381140.