Least Common Multiple of 6966 and 6968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6966 and 6968 the smallest integer that is 24269544 that is divisible by both numbers.

Least Common Multiple (LCM) of 6966 and 6968 is 24269544.

LCM(6966,6968) = 24269544

LCM of 6966 and 6968

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

LCM of:
and

Least Common Multiple of 6966 and 6968

LCM of 6966 and 6968 is 24269544

Least common multiple can be found by multiplying the highest exponent prime factors of 6966 and 6968. First we will calculate the prime factors of 6966 and 6968.

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

Prime Factorization of 6968


2 6968
2 3484
2 1742
13 871
67 67
1

Prime factors of 6968 are 2, 13,67. Prime factorization of 6968 in exponential form is:

6968 = 23×131×671

Now multiplying the highest exponent prime factors to calculate the LCM of 6966 and 6968.

LCM(6966,6968) = 23×34×131×431×671
LCM(6966,6968) = 24269544

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

Factors of 6968

List of positive integer factors of 6968 that divides 6968 without a remainder.

1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968

Least Common Multiple of 6966 and 6968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6966 and 6968, than apply into the LCM equation.

GCF(6966,6968) = 2
LCM(6966,6968) = ( 6966 × 6968) / 2
LCM(6966,6968) = 48539088 / 2
LCM(6966,6968) = 24269544

Properties of LCM 6966 and 6968

(i) The LCM of 6968 and 6966 is associative

LCM of 6966 and 6968 = LCM of 6968 and 6966

Related Least Common Multiples of 6966

Related Least Common Multiples of 6968

Frequently Asked Questions on LCM of 6966 and 6968

1. What is the LCM of 6966 and 6968?

Answer: LCM of 6966 and 6968 is 24269544.

2. 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.

3. What are the Factors of 6968?

Answer: Factors of 6968 are 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968. There are 16 integers that are factors of 6968. The greatest factor of 6968 is 6968.

4. How to Find the LCM of 6966 and 6968?

Answer:

Least Common Multiple of 6966 and 6968 = 24269544

Step 1: Find the prime factorization of 6966

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

Step 2: Find the prime factorization of 6968

6968 = 2 x 2 x 2 x 13 x 67

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

LCM = 24269544 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 13 x 43 x 67

Step 4: Therefore, the least common multiple of 6966 and 6968 is 24269544.