Least Common Multiple of 6976 and 6980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6976 and 6980 the smallest integer that is 12173120 that is divisible by both numbers.

Least Common Multiple (LCM) of 6976 and 6980 is 12173120.

LCM(6976,6980) = 12173120

LCM of 6976 and 6980

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

LCM of:
and

Least Common Multiple of 6976 and 6980

LCM of 6976 and 6980 is 12173120

Least common multiple can be found by multiplying the highest exponent prime factors of 6976 and 6980. First we will calculate the prime factors of 6976 and 6980.

Prime Factorization of 6976


2 6976
2 3488
2 1744
2 872
2 436
2 218
109 109
1

Prime factors of 6976 are 2,109. Prime factorization of 6976 in exponential form is:

6976 = 26×1091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6976 and 6980.

LCM(6976,6980) = 26×51×1091×3491
LCM(6976,6980) = 12173120

Factors of 6976

List of positive integer factors of 6976 that divides 6976 without a remainder.

1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976

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

Least Common Multiple of 6976 and 6980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6976 and 6980, than apply into the LCM equation.

GCF(6976,6980) = 4
LCM(6976,6980) = ( 6976 × 6980) / 4
LCM(6976,6980) = 48692480 / 4
LCM(6976,6980) = 12173120

Properties of LCM 6976 and 6980

(i) The LCM of 6980 and 6976 is associative

LCM of 6976 and 6980 = LCM of 6980 and 6976

Related Least Common Multiples of 6976

Related Least Common Multiples of 6980

Frequently Asked Questions on LCM of 6976 and 6980

1. What is the LCM of 6976 and 6980?

Answer: LCM of 6976 and 6980 is 12173120.

2. What are the Factors of 6976?

Answer: Factors of 6976 are 1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976. There are 14 integers that are factors of 6976. The greatest factor of 6976 is 6976.

3. 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.

4. How to Find the LCM of 6976 and 6980?

Answer:

Least Common Multiple of 6976 and 6980 = 12173120

Step 1: Find the prime factorization of 6976

6976 = 2 x 2 x 2 x 2 x 2 x 2 x 109

Step 2: Find the prime factorization of 6980

6980 = 2 x 2 x 5 x 349

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

LCM = 12173120 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 109 x 349

Step 4: Therefore, the least common multiple of 6976 and 6980 is 12173120.