Least Common Multiple of 6964 and 6968

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 6968 the smallest integer that is 12131288 that is divisible by both numbers.

Least Common Multiple (LCM) of 6964 and 6968 is 12131288.

LCM(6964,6968) = 12131288

LCM of 6964 and 6968

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

LCM of:
and

Least Common Multiple of 6964 and 6968

LCM of 6964 and 6968 is 12131288

Least common multiple can be found by multiplying the highest exponent prime factors of 6964 and 6968. First we will calculate the prime factors of 6964 and 6968.

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 6968


2 6968
2 3484
2 1742
13 871
67 67
1

Prime factors of 6968 are 2, 13,67. Prime factorization of 6968 in exponential form is:

6968 = 23×131×671

Now multiplying the highest exponent prime factors to calculate the LCM of 6964 and 6968.

LCM(6964,6968) = 23×131×671×17411
LCM(6964,6968) = 12131288

Factors of 6964

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

1, 2, 4, 1741, 3482, 6964

Factors of 6968

List of positive integer factors of 6968 that divides 6968 without a remainder.

1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968

Least Common Multiple of 6964 and 6968 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 6968, than apply into the LCM equation.

GCF(6964,6968) = 4
LCM(6964,6968) = ( 6964 × 6968) / 4
LCM(6964,6968) = 48525152 / 4
LCM(6964,6968) = 12131288

Properties of LCM 6964 and 6968

(i) The LCM of 6968 and 6964 is associative

LCM of 6964 and 6968 = LCM of 6968 and 6964

Related Least Common Multiples of 6964

Related Least Common Multiples of 6968

Frequently Asked Questions on LCM of 6964 and 6968

1. What is the LCM of 6964 and 6968?

Answer: LCM of 6964 and 6968 is 12131288.

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 6968?

Answer: Factors of 6968 are 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968. There are 16 integers that are factors of 6968. The greatest factor of 6968 is 6968.

4. How to Find the LCM of 6964 and 6968?

Answer:

Least Common Multiple of 6964 and 6968 = 12131288

Step 1: Find the prime factorization of 6964

6964 = 2 x 2 x 1741

Step 2: Find the prime factorization of 6968

6968 = 2 x 2 x 2 x 13 x 67

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

LCM = 12131288 = 2 x 2 x 2 x 13 x 67 x 1741

Step 4: Therefore, the least common multiple of 6964 and 6968 is 12131288.