Least Common Multiple of 6952 and 6958

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 6958 the smallest integer that is 24186008 that is divisible by both numbers.

Least Common Multiple (LCM) of 6952 and 6958 is 24186008.

LCM(6952,6958) = 24186008

LCM of 6952 and 6958

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

LCM of:
and

Least Common Multiple of 6952 and 6958

LCM of 6952 and 6958 is 24186008

Least common multiple can be found by multiplying the highest exponent prime factors of 6952 and 6958. First we will calculate the prime factors of 6952 and 6958.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 6952 and 6958.

LCM(6952,6958) = 23×72×111×711×791
LCM(6952,6958) = 24186008

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 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

Least Common Multiple of 6952 and 6958 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 6958, than apply into the LCM equation.

GCF(6952,6958) = 2
LCM(6952,6958) = ( 6952 × 6958) / 2
LCM(6952,6958) = 48372016 / 2
LCM(6952,6958) = 24186008

Properties of LCM 6952 and 6958

(i) The LCM of 6958 and 6952 is associative

LCM of 6952 and 6958 = LCM of 6958 and 6952

Related Least Common Multiples of 6952

Related Least Common Multiples of 6958

Frequently Asked Questions on LCM of 6952 and 6958

1. What is the LCM of 6952 and 6958?

Answer: LCM of 6952 and 6958 is 24186008.

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 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.

4. How to Find the LCM of 6952 and 6958?

Answer:

Least Common Multiple of 6952 and 6958 = 24186008

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 6958

6958 = 2 x 7 x 7 x 71

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

LCM = 24186008 = 2 x 2 x 2 x 7 x 7 x 11 x 71 x 79

Step 4: Therefore, the least common multiple of 6952 and 6958 is 24186008.