Least Common Multiple of 6953 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 6953 and 6958 the smallest integer that is 48378974 that is divisible by both numbers.

Least Common Multiple (LCM) of 6953 and 6958 is 48378974.

LCM(6953,6958) = 48378974

LCM of 6953 and 6958

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

LCM of:
and

Least Common Multiple of 6953 and 6958

LCM of 6953 and 6958 is 48378974

Least common multiple can be found by multiplying the highest exponent prime factors of 6953 and 6958. First we will calculate the prime factors of 6953 and 6958.

Prime Factorization of 6953


17 6953
409 409
1

Prime factors of 6953 are 17,409. Prime factorization of 6953 in exponential form is:

6953 = 171×4091

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 6953 and 6958.

LCM(6953,6958) = 21×72×171×711×4091
LCM(6953,6958) = 48378974

Factors of 6953

List of positive integer factors of 6953 that divides 6953 without a remainder.

1, 17, 409, 6953

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 6953 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 6953 and 6958, than apply into the LCM equation.

GCF(6953,6958) = 1
LCM(6953,6958) = ( 6953 × 6958) / 1
LCM(6953,6958) = 48378974 / 1
LCM(6953,6958) = 48378974

Properties of LCM 6953 and 6958

(i) The LCM of 6958 and 6953 is associative

LCM of 6953 and 6958 = LCM of 6958 and 6953

Related Least Common Multiples of 6953

Related Least Common Multiples of 6958

Frequently Asked Questions on LCM of 6953 and 6958

1. What is the LCM of 6953 and 6958?

Answer: LCM of 6953 and 6958 is 48378974.

2. What are the Factors of 6953?

Answer: Factors of 6953 are 1, 17, 409, 6953. There are 4 integers that are factors of 6953. The greatest factor of 6953 is 6953.

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 6953 and 6958?

Answer:

Least Common Multiple of 6953 and 6958 = 48378974

Step 1: Find the prime factorization of 6953

6953 = 17 x 409

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 = 48378974 = 2 x 7 x 7 x 17 x 71 x 409

Step 4: Therefore, the least common multiple of 6953 and 6958 is 48378974.