Least Common Multiple of 6961 and 6966

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 6966 the smallest integer that is 48490326 that is divisible by both numbers.

Least Common Multiple (LCM) of 6961 and 6966 is 48490326.

LCM(6961,6966) = 48490326

LCM of 6961 and 6966

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

LCM of:
and

Least Common Multiple of 6961 and 6966

LCM of 6961 and 6966 is 48490326

Least common multiple can be found by multiplying the highest exponent prime factors of 6961 and 6966. First we will calculate the prime factors of 6961 and 6966.

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 6966


2 6966
3 3483
3 1161
3 387
3 129
43 43
1

Prime factors of 6966 are 2, 3,43. Prime factorization of 6966 in exponential form is:

6966 = 21×34×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6961 and 6966.

LCM(6961,6966) = 21×34×431×69611
LCM(6961,6966) = 48490326

Factors of 6961

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

1, 6961

Factors of 6966

List of positive integer factors of 6966 that divides 6966 without a remainder.

1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966

Least Common Multiple of 6961 and 6966 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 6966, than apply into the LCM equation.

GCF(6961,6966) = 1
LCM(6961,6966) = ( 6961 × 6966) / 1
LCM(6961,6966) = 48490326 / 1
LCM(6961,6966) = 48490326

Properties of LCM 6961 and 6966

(i) The LCM of 6966 and 6961 is associative

LCM of 6961 and 6966 = LCM of 6966 and 6961

Related Least Common Multiples of 6961

Related Least Common Multiples of 6966

Frequently Asked Questions on LCM of 6961 and 6966

1. What is the LCM of 6961 and 6966?

Answer: LCM of 6961 and 6966 is 48490326.

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 6966?

Answer: Factors of 6966 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966. There are 20 integers that are factors of 6966. The greatest factor of 6966 is 6966.

4. How to Find the LCM of 6961 and 6966?

Answer:

Least Common Multiple of 6961 and 6966 = 48490326

Step 1: Find the prime factorization of 6961

6961 = 6961

Step 2: Find the prime factorization of 6966

6966 = 2 x 3 x 3 x 3 x 3 x 43

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

LCM = 48490326 = 2 x 3 x 3 x 3 x 3 x 43 x 6961

Step 4: Therefore, the least common multiple of 6961 and 6966 is 48490326.