Least Common Multiple of 6980 and 6988

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 6988 the smallest integer that is 12194060 that is divisible by both numbers.

Least Common Multiple (LCM) of 6980 and 6988 is 12194060.

LCM(6980,6988) = 12194060

LCM of 6980 and 6988

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

LCM of:
and

Least Common Multiple of 6980 and 6988

LCM of 6980 and 6988 is 12194060

Least common multiple can be found by multiplying the highest exponent prime factors of 6980 and 6988. First we will calculate the prime factors of 6980 and 6988.

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 6988


2 6988
2 3494
1747 1747
1

Prime factors of 6988 are 2,1747. Prime factorization of 6988 in exponential form is:

6988 = 22×17471

Now multiplying the highest exponent prime factors to calculate the LCM of 6980 and 6988.

LCM(6980,6988) = 22×51×3491×17471
LCM(6980,6988) = 12194060

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 6988

List of positive integer factors of 6988 that divides 6988 without a remainder.

1, 2, 4, 1747, 3494, 6988

Least Common Multiple of 6980 and 6988 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 6988, than apply into the LCM equation.

GCF(6980,6988) = 4
LCM(6980,6988) = ( 6980 × 6988) / 4
LCM(6980,6988) = 48776240 / 4
LCM(6980,6988) = 12194060

Properties of LCM 6980 and 6988

(i) The LCM of 6988 and 6980 is associative

LCM of 6980 and 6988 = LCM of 6988 and 6980

Related Least Common Multiples of 6980

Related Least Common Multiples of 6988

Frequently Asked Questions on LCM of 6980 and 6988

1. What is the LCM of 6980 and 6988?

Answer: LCM of 6980 and 6988 is 12194060.

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 6988?

Answer: Factors of 6988 are 1, 2, 4, 1747, 3494, 6988. There are 6 integers that are factors of 6988. The greatest factor of 6988 is 6988.

4. How to Find the LCM of 6980 and 6988?

Answer:

Least Common Multiple of 6980 and 6988 = 12194060

Step 1: Find the prime factorization of 6980

6980 = 2 x 2 x 5 x 349

Step 2: Find the prime factorization of 6988

6988 = 2 x 2 x 1747

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

LCM = 12194060 = 2 x 2 x 5 x 349 x 1747

Step 4: Therefore, the least common multiple of 6980 and 6988 is 12194060.