Least Common Multiple of 6951 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 6951 and 6956 the smallest integer that is 48351156 that is divisible by both numbers.

Least Common Multiple (LCM) of 6951 and 6956 is 48351156.

LCM(6951,6956) = 48351156

LCM of 6951 and 6956

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

LCM of:
and

Least Common Multiple of 6951 and 6956

LCM of 6951 and 6956 is 48351156

Least common multiple can be found by multiplying the highest exponent prime factors of 6951 and 6956. First we will calculate the prime factors of 6951 and 6956.

Prime Factorization of 6951


3 6951
7 2317
331 331
1

Prime factors of 6951 are 3, 7,331. Prime factorization of 6951 in exponential form is:

6951 = 31×71×3311

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 6951 and 6956.

LCM(6951,6956) = 22×31×71×371×471×3311
LCM(6951,6956) = 48351156

Factors of 6951

List of positive integer factors of 6951 that divides 6951 without a remainder.

1, 3, 7, 21, 331, 993, 2317, 6951

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 6951 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 6951 and 6956, than apply into the LCM equation.

GCF(6951,6956) = 1
LCM(6951,6956) = ( 6951 × 6956) / 1
LCM(6951,6956) = 48351156 / 1
LCM(6951,6956) = 48351156

Properties of LCM 6951 and 6956

(i) The LCM of 6956 and 6951 is associative

LCM of 6951 and 6956 = LCM of 6956 and 6951

Related Least Common Multiples of 6951

Related Least Common Multiples of 6956

Frequently Asked Questions on LCM of 6951 and 6956

1. What is the LCM of 6951 and 6956?

Answer: LCM of 6951 and 6956 is 48351156.

2. What are the Factors of 6951?

Answer: Factors of 6951 are 1, 3, 7, 21, 331, 993, 2317, 6951. There are 8 integers that are factors of 6951. The greatest factor of 6951 is 6951.

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 6951 and 6956?

Answer:

Least Common Multiple of 6951 and 6956 = 48351156

Step 1: Find the prime factorization of 6951

6951 = 3 x 7 x 331

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 = 48351156 = 2 x 2 x 3 x 7 x 37 x 47 x 331

Step 4: Therefore, the least common multiple of 6951 and 6956 is 48351156.