Least Common Multiple of 6952 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 6952 and 6956 the smallest integer that is 12089528 that is divisible by both numbers.

Least Common Multiple (LCM) of 6952 and 6956 is 12089528.

LCM(6952,6956) = 12089528

LCM of 6952 and 6956

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

LCM of:
and

Least Common Multiple of 6952 and 6956

LCM of 6952 and 6956 is 12089528

Least common multiple can be found by multiplying the highest exponent prime factors of 6952 and 6956. First we will calculate the prime factors of 6952 and 6956.

Prime Factorization of 6952


2 6952
2 3476
2 1738
11 869
79 79
1

Prime factors of 6952 are 2, 11,79. Prime factorization of 6952 in exponential form is:

6952 = 23×111×791

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 6952 and 6956.

LCM(6952,6956) = 23×111×371×471×791
LCM(6952,6956) = 12089528

Factors of 6952

List of positive integer factors of 6952 that divides 6952 without a remainder.

1, 2, 4, 8, 11, 22, 44, 79, 88, 158, 316, 632, 869, 1738, 3476, 6952

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 6952 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 6952 and 6956, than apply into the LCM equation.

GCF(6952,6956) = 4
LCM(6952,6956) = ( 6952 × 6956) / 4
LCM(6952,6956) = 48358112 / 4
LCM(6952,6956) = 12089528

Properties of LCM 6952 and 6956

(i) The LCM of 6956 and 6952 is associative

LCM of 6952 and 6956 = LCM of 6956 and 6952

Related Least Common Multiples of 6952

Related Least Common Multiples of 6956

Frequently Asked Questions on LCM of 6952 and 6956

1. What is the LCM of 6952 and 6956?

Answer: LCM of 6952 and 6956 is 12089528.

2. What are the Factors of 6952?

Answer: Factors of 6952 are 1, 2, 4, 8, 11, 22, 44, 79, 88, 158, 316, 632, 869, 1738, 3476, 6952. There are 16 integers that are factors of 6952. The greatest factor of 6952 is 6952.

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 6952 and 6956?

Answer:

Least Common Multiple of 6952 and 6956 = 12089528

Step 1: Find the prime factorization of 6952

6952 = 2 x 2 x 2 x 11 x 79

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 = 12089528 = 2 x 2 x 2 x 11 x 37 x 47 x 79

Step 4: Therefore, the least common multiple of 6952 and 6956 is 12089528.