Least Common Multiple of 6948 and 6956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6948 and 6956 the smallest integer that is 12082572 that is divisible by both numbers.

Least Common Multiple (LCM) of 6948 and 6956 is 12082572.

LCM(6948,6956) = 12082572

LCM of 6948 and 6956

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

LCM of:
and

Least Common Multiple of 6948 and 6956

LCM of 6948 and 6956 is 12082572

Least common multiple can be found by multiplying the highest exponent prime factors of 6948 and 6956. First we will calculate the prime factors of 6948 and 6956.

Prime Factorization of 6948


2 6948
2 3474
3 1737
3 579
193 193
1

Prime factors of 6948 are 2, 3,193. Prime factorization of 6948 in exponential form is:

6948 = 22×32×1931

Prime Factorization of 6956


2 6956
2 3478
37 1739
47 47
1

Prime factors of 6956 are 2, 37,47. Prime factorization of 6956 in exponential form is:

6956 = 22×371×471

Now multiplying the highest exponent prime factors to calculate the LCM of 6948 and 6956.

LCM(6948,6956) = 22×32×371×471×1931
LCM(6948,6956) = 12082572

Factors of 6948

List of positive integer factors of 6948 that divides 6948 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 193, 386, 579, 772, 1158, 1737, 2316, 3474, 6948

Factors of 6956

List of positive integer factors of 6956 that divides 6956 without a remainder.

1, 2, 4, 37, 47, 74, 94, 148, 188, 1739, 3478, 6956

Least Common Multiple of 6948 and 6956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6948 and 6956, than apply into the LCM equation.

GCF(6948,6956) = 4
LCM(6948,6956) = ( 6948 × 6956) / 4
LCM(6948,6956) = 48330288 / 4
LCM(6948,6956) = 12082572

Properties of LCM 6948 and 6956

(i) The LCM of 6956 and 6948 is associative

LCM of 6948 and 6956 = LCM of 6956 and 6948

Related Least Common Multiples of 6948

Related Least Common Multiples of 6956

Frequently Asked Questions on LCM of 6948 and 6956

1. What is the LCM of 6948 and 6956?

Answer: LCM of 6948 and 6956 is 12082572.

2. What are the Factors of 6948?

Answer: Factors of 6948 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 193, 386, 579, 772, 1158, 1737, 2316, 3474, 6948. There are 18 integers that are factors of 6948. The greatest factor of 6948 is 6948.

3. What are the Factors of 6956?

Answer: Factors of 6956 are 1, 2, 4, 37, 47, 74, 94, 148, 188, 1739, 3478, 6956. There are 12 integers that are factors of 6956. The greatest factor of 6956 is 6956.

4. How to Find the LCM of 6948 and 6956?

Answer:

Least Common Multiple of 6948 and 6956 = 12082572

Step 1: Find the prime factorization of 6948

6948 = 2 x 2 x 3 x 3 x 193

Step 2: Find the prime factorization of 6956

6956 = 2 x 2 x 37 x 47

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

LCM = 12082572 = 2 x 2 x 3 x 3 x 37 x 47 x 193

Step 4: Therefore, the least common multiple of 6948 and 6956 is 12082572.