Least Common Multiple of 6964 and 6970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6964 and 6970 the smallest integer that is 24269540 that is divisible by both numbers.

Least Common Multiple (LCM) of 6964 and 6970 is 24269540.

LCM(6964,6970) = 24269540

LCM of 6964 and 6970

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

LCM of:
and

Least Common Multiple of 6964 and 6970

LCM of 6964 and 6970 is 24269540

Least common multiple can be found by multiplying the highest exponent prime factors of 6964 and 6970. First we will calculate the prime factors of 6964 and 6970.

Prime Factorization of 6964


2 6964
2 3482
1741 1741
1

Prime factors of 6964 are 2,1741. Prime factorization of 6964 in exponential form is:

6964 = 22×17411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6964 and 6970.

LCM(6964,6970) = 22×51×171×411×17411
LCM(6964,6970) = 24269540

Factors of 6964

List of positive integer factors of 6964 that divides 6964 without a remainder.

1, 2, 4, 1741, 3482, 6964

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

Least Common Multiple of 6964 and 6970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6964 and 6970, than apply into the LCM equation.

GCF(6964,6970) = 2
LCM(6964,6970) = ( 6964 × 6970) / 2
LCM(6964,6970) = 48539080 / 2
LCM(6964,6970) = 24269540

Properties of LCM 6964 and 6970

(i) The LCM of 6970 and 6964 is associative

LCM of 6964 and 6970 = LCM of 6970 and 6964

Related Least Common Multiples of 6964

Related Least Common Multiples of 6970

Frequently Asked Questions on LCM of 6964 and 6970

1. What is the LCM of 6964 and 6970?

Answer: LCM of 6964 and 6970 is 24269540.

2. What are the Factors of 6964?

Answer: Factors of 6964 are 1, 2, 4, 1741, 3482, 6964. There are 6 integers that are factors of 6964. The greatest factor of 6964 is 6964.

3. 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.

4. How to Find the LCM of 6964 and 6970?

Answer:

Least Common Multiple of 6964 and 6970 = 24269540

Step 1: Find the prime factorization of 6964

6964 = 2 x 2 x 1741

Step 2: Find the prime factorization of 6970

6970 = 2 x 5 x 17 x 41

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

LCM = 24269540 = 2 x 2 x 5 x 17 x 41 x 1741

Step 4: Therefore, the least common multiple of 6964 and 6970 is 24269540.