Least Common Multiple of 6970 and 6976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6970 and 6976 the smallest integer that is 24311360 that is divisible by both numbers.

Least Common Multiple (LCM) of 6970 and 6976 is 24311360.

LCM(6970,6976) = 24311360

LCM of 6970 and 6976

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

LCM of:
and

Least Common Multiple of 6970 and 6976

LCM of 6970 and 6976 is 24311360

Least common multiple can be found by multiplying the highest exponent prime factors of 6970 and 6976. First we will calculate the prime factors of 6970 and 6976.

Prime Factorization of 6970


2 6970
5 3485
17 697
41 41
1

Prime factors of 6970 are 2, 5, 17,41. Prime factorization of 6970 in exponential form is:

6970 = 21×51×171×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6970 and 6976.

LCM(6970,6976) = 26×51×171×411×1091
LCM(6970,6976) = 24311360

Factors of 6970

List of positive integer factors of 6970 that divides 6970 without a remainder.

1, 2, 5, 10, 17, 34, 41, 82, 85, 170, 205, 410, 697, 1394, 3485, 6970

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

Least Common Multiple of 6970 and 6976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6970 and 6976, than apply into the LCM equation.

GCF(6970,6976) = 2
LCM(6970,6976) = ( 6970 × 6976) / 2
LCM(6970,6976) = 48622720 / 2
LCM(6970,6976) = 24311360

Properties of LCM 6970 and 6976

(i) The LCM of 6976 and 6970 is associative

LCM of 6970 and 6976 = LCM of 6976 and 6970

Related Least Common Multiples of 6970

Related Least Common Multiples of 6976

Frequently Asked Questions on LCM of 6970 and 6976

1. What is the LCM of 6970 and 6976?

Answer: LCM of 6970 and 6976 is 24311360.

2. What are the Factors of 6970?

Answer: Factors of 6970 are 1, 2, 5, 10, 17, 34, 41, 82, 85, 170, 205, 410, 697, 1394, 3485, 6970. There are 16 integers that are factors of 6970. The greatest factor of 6970 is 6970.

3. 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.

4. How to Find the LCM of 6970 and 6976?

Answer:

Least Common Multiple of 6970 and 6976 = 24311360

Step 1: Find the prime factorization of 6970

6970 = 2 x 5 x 17 x 41

Step 2: Find the prime factorization of 6976

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

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

LCM = 24311360 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17 x 41 x 109

Step 4: Therefore, the least common multiple of 6970 and 6976 is 24311360.