Least Common Multiple of 6958 and 6964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6958 and 6964 the smallest integer that is 24227756 that is divisible by both numbers.

Least Common Multiple (LCM) of 6958 and 6964 is 24227756.

LCM(6958,6964) = 24227756

LCM of 6958 and 6964

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

LCM of:
and

Least Common Multiple of 6958 and 6964

LCM of 6958 and 6964 is 24227756

Least common multiple can be found by multiplying the highest exponent prime factors of 6958 and 6964. First we will calculate the prime factors of 6958 and 6964.

Prime Factorization of 6958


2 6958
7 3479
7 497
71 71
1

Prime factors of 6958 are 2, 7,71. Prime factorization of 6958 in exponential form is:

6958 = 21×72×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6958 and 6964.

LCM(6958,6964) = 22×72×711×17411
LCM(6958,6964) = 24227756

Factors of 6958

List of positive integer factors of 6958 that divides 6958 without a remainder.

1, 2, 7, 14, 49, 71, 98, 142, 497, 994, 3479, 6958

Factors of 6964

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

1, 2, 4, 1741, 3482, 6964

Least Common Multiple of 6958 and 6964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6958 and 6964, than apply into the LCM equation.

GCF(6958,6964) = 2
LCM(6958,6964) = ( 6958 × 6964) / 2
LCM(6958,6964) = 48455512 / 2
LCM(6958,6964) = 24227756

Properties of LCM 6958 and 6964

(i) The LCM of 6964 and 6958 is associative

LCM of 6958 and 6964 = LCM of 6964 and 6958

Related Least Common Multiples of 6958

Related Least Common Multiples of 6964

Frequently Asked Questions on LCM of 6958 and 6964

1. What is the LCM of 6958 and 6964?

Answer: LCM of 6958 and 6964 is 24227756.

2. What are the Factors of 6958?

Answer: Factors of 6958 are 1, 2, 7, 14, 49, 71, 98, 142, 497, 994, 3479, 6958. There are 12 integers that are factors of 6958. The greatest factor of 6958 is 6958.

3. 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.

4. How to Find the LCM of 6958 and 6964?

Answer:

Least Common Multiple of 6958 and 6964 = 24227756

Step 1: Find the prime factorization of 6958

6958 = 2 x 7 x 7 x 71

Step 2: Find the prime factorization of 6964

6964 = 2 x 2 x 1741

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

LCM = 24227756 = 2 x 2 x 7 x 7 x 71 x 1741

Step 4: Therefore, the least common multiple of 6958 and 6964 is 24227756.