Least Common Multiple of 968 and 969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 968 and 969 the smallest integer that is 937992 that is divisible by both numbers.

Least Common Multiple (LCM) of 968 and 969 is 937992.

LCM(968,969) = 937992

LCM of 968 and 969

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

LCM of:
and

Least Common Multiple of 968 and 969

LCM of 968 and 969 is 937992

Least common multiple can be found by multiplying the highest exponent prime factors of 968 and 969. First we will calculate the prime factors of 968 and 969.

Prime Factorization of 968


2 968
2 484
2 242
11 121
11 11
1

Prime factors of 968 are 2,11. Prime factorization of 968 in exponential form is:

968 = 23×112

Prime Factorization of 969


3 969
17 323
19 19
1

Prime factors of 969 are 3, 17,19. Prime factorization of 969 in exponential form is:

969 = 31×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 968 and 969.

LCM(968,969) = 23×31×112×171×191
LCM(968,969) = 937992

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Least Common Multiple of 968 and 969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 968 and 969, than apply into the LCM equation.

GCF(968,969) = 1
LCM(968,969) = ( 968 × 969) / 1
LCM(968,969) = 937992 / 1
LCM(968,969) = 937992

Properties of LCM 968 and 969

(i) The LCM of 969 and 968 is associative

LCM of 968 and 969 = LCM of 969 and 968

Related Least Common Multiples of 968

Related Least Common Multiples of 969

Frequently Asked Questions on LCM of 968 and 969

1. What is the LCM of 968 and 969?

Answer: LCM of 968 and 969 is 937992.

2. What are the Factors of 968?

Answer: Factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968. There are 12 integers that are factors of 968. The greatest factor of 968 is 968.

3. What are the Factors of 969?

Answer: Factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969. There are 8 integers that are factors of 969. The greatest factor of 969 is 969.

4. How to Find the LCM of 968 and 969?

Answer:

Least Common Multiple of 968 and 969 = 937992

Step 1: Find the prime factorization of 968

968 = 2 x 2 x 2 x 11 x 11

Step 2: Find the prime factorization of 969

969 = 3 x 17 x 19

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

LCM = 937992 = 2 x 2 x 2 x 3 x 11 x 11 x 17 x 19

Step 4: Therefore, the least common multiple of 968 and 969 is 937992.