Least Common Multiple of 6958 and 6962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6958 and 6962 the smallest integer that is 24220798 that is divisible by both numbers.

Least Common Multiple (LCM) of 6958 and 6962 is 24220798.

LCM(6958,6962) = 24220798

LCM of 6958 and 6962

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

LCM of:
and

Least Common Multiple of 6958 and 6962

LCM of 6958 and 6962 is 24220798

Least common multiple can be found by multiplying the highest exponent prime factors of 6958 and 6962. First we will calculate the prime factors of 6958 and 6962.

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

Prime Factorization of 6962


2 6962
59 3481
59 59
1

Prime factors of 6962 are 2,59. Prime factorization of 6962 in exponential form is:

6962 = 21×592

Now multiplying the highest exponent prime factors to calculate the LCM of 6958 and 6962.

LCM(6958,6962) = 21×72×592×711
LCM(6958,6962) = 24220798

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

Factors of 6962

List of positive integer factors of 6962 that divides 6962 without a remainder.

1, 2, 59, 118, 3481, 6962

Least Common Multiple of 6958 and 6962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6958 and 6962, than apply into the LCM equation.

GCF(6958,6962) = 2
LCM(6958,6962) = ( 6958 × 6962) / 2
LCM(6958,6962) = 48441596 / 2
LCM(6958,6962) = 24220798

Properties of LCM 6958 and 6962

(i) The LCM of 6962 and 6958 is associative

LCM of 6958 and 6962 = LCM of 6962 and 6958

Related Least Common Multiples of 6958

Related Least Common Multiples of 6962

Frequently Asked Questions on LCM of 6958 and 6962

1. What is the LCM of 6958 and 6962?

Answer: LCM of 6958 and 6962 is 24220798.

2. 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.

3. What are the Factors of 6962?

Answer: Factors of 6962 are 1, 2, 59, 118, 3481, 6962. There are 6 integers that are factors of 6962. The greatest factor of 6962 is 6962.

4. How to Find the LCM of 6958 and 6962?

Answer:

Least Common Multiple of 6958 and 6962 = 24220798

Step 1: Find the prime factorization of 6958

6958 = 2 x 7 x 7 x 71

Step 2: Find the prime factorization of 6962

6962 = 2 x 59 x 59

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

LCM = 24220798 = 2 x 7 x 7 x 59 x 59 x 71

Step 4: Therefore, the least common multiple of 6958 and 6962 is 24220798.