Least Common Multiple of 6952 and 6960

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 6960 the smallest integer that is 6048240 that is divisible by both numbers.

Least Common Multiple (LCM) of 6952 and 6960 is 6048240.

LCM(6952,6960) = 6048240

LCM of 6952 and 6960

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

LCM of:
and

Least Common Multiple of 6952 and 6960

LCM of 6952 and 6960 is 6048240

Least common multiple can be found by multiplying the highest exponent prime factors of 6952 and 6960. First we will calculate the prime factors of 6952 and 6960.

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 6960


2 6960
2 3480
2 1740
2 870
3 435
5 145
29 29
1

Prime factors of 6960 are 2, 3, 5,29. Prime factorization of 6960 in exponential form is:

6960 = 24×31×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 6952 and 6960.

LCM(6952,6960) = 24×31×51×111×291×791
LCM(6952,6960) = 6048240

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 6960

List of positive integer factors of 6960 that divides 6960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960

Least Common Multiple of 6952 and 6960 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 6960, than apply into the LCM equation.

GCF(6952,6960) = 8
LCM(6952,6960) = ( 6952 × 6960) / 8
LCM(6952,6960) = 48385920 / 8
LCM(6952,6960) = 6048240

Properties of LCM 6952 and 6960

(i) The LCM of 6960 and 6952 is associative

LCM of 6952 and 6960 = LCM of 6960 and 6952

Related Least Common Multiples of 6952

Related Least Common Multiples of 6960

Frequently Asked Questions on LCM of 6952 and 6960

1. What is the LCM of 6952 and 6960?

Answer: LCM of 6952 and 6960 is 6048240.

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 6960?

Answer: Factors of 6960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960. There are 40 integers that are factors of 6960. The greatest factor of 6960 is 6960.

4. How to Find the LCM of 6952 and 6960?

Answer:

Least Common Multiple of 6952 and 6960 = 6048240

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 6960

6960 = 2 x 2 x 2 x 2 x 3 x 5 x 29

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

LCM = 6048240 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 29 x 79

Step 4: Therefore, the least common multiple of 6952 and 6960 is 6048240.