Least Common Multiple of 6961 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 6961 and 6962 the smallest integer that is 48462482 that is divisible by both numbers.

Least Common Multiple (LCM) of 6961 and 6962 is 48462482.

LCM(6961,6962) = 48462482

LCM of 6961 and 6962

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

LCM of:
and

Least Common Multiple of 6961 and 6962

LCM of 6961 and 6962 is 48462482

Least common multiple can be found by multiplying the highest exponent prime factors of 6961 and 6962. First we will calculate the prime factors of 6961 and 6962.

Prime Factorization of 6961


6961 6961
1

Prime factors of 6961 are 6961. Prime factorization of 6961 in exponential form is:

6961 = 69611

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 6961 and 6962.

LCM(6961,6962) = 21×592×69611
LCM(6961,6962) = 48462482

Factors of 6961

List of positive integer factors of 6961 that divides 6961 without a remainder.

1, 6961

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 6961 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 6961 and 6962, than apply into the LCM equation.

GCF(6961,6962) = 1
LCM(6961,6962) = ( 6961 × 6962) / 1
LCM(6961,6962) = 48462482 / 1
LCM(6961,6962) = 48462482

Properties of LCM 6961 and 6962

(i) The LCM of 6962 and 6961 is associative

LCM of 6961 and 6962 = LCM of 6962 and 6961

Related Least Common Multiples of 6961

Related Least Common Multiples of 6962

Frequently Asked Questions on LCM of 6961 and 6962

1. What is the LCM of 6961 and 6962?

Answer: LCM of 6961 and 6962 is 48462482.

2. What are the Factors of 6961?

Answer: Factors of 6961 are 1, 6961. There are 2 integers that are factors of 6961. The greatest factor of 6961 is 6961.

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 6961 and 6962?

Answer:

Least Common Multiple of 6961 and 6962 = 48462482

Step 1: Find the prime factorization of 6961

6961 = 6961

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 = 48462482 = 2 x 59 x 59 x 6961

Step 4: Therefore, the least common multiple of 6961 and 6962 is 48462482.