Least Common Multiple of 961 and 968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 961 and 968 the smallest integer that is 930248 that is divisible by both numbers.

Least Common Multiple (LCM) of 961 and 968 is 930248.

LCM(961,968) = 930248

LCM of 961 and 968

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

LCM of:
and

Least Common Multiple of 961 and 968

LCM of 961 and 968 is 930248

Least common multiple can be found by multiplying the highest exponent prime factors of 961 and 968. First we will calculate the prime factors of 961 and 968.

Prime Factorization of 961


31 961
31 31
1

Prime factors of 961 are 31. Prime factorization of 961 in exponential form is:

961 = 312

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

Now multiplying the highest exponent prime factors to calculate the LCM of 961 and 968.

LCM(961,968) = 23×112×312
LCM(961,968) = 930248

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1, 31, 961

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

Least Common Multiple of 961 and 968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 961 and 968, than apply into the LCM equation.

GCF(961,968) = 1
LCM(961,968) = ( 961 × 968) / 1
LCM(961,968) = 930248 / 1
LCM(961,968) = 930248

Properties of LCM 961 and 968

(i) The LCM of 968 and 961 is associative

LCM of 961 and 968 = LCM of 968 and 961

Related Least Common Multiples of 961

Related Least Common Multiples of 968

Frequently Asked Questions on LCM of 961 and 968

1. What is the LCM of 961 and 968?

Answer: LCM of 961 and 968 is 930248.

2. What are the Factors of 961?

Answer: Factors of 961 are 1, 31, 961. There are 3 integers that are factors of 961. The greatest factor of 961 is 961.

3. 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.

4. How to Find the LCM of 961 and 968?

Answer:

Least Common Multiple of 961 and 968 = 930248

Step 1: Find the prime factorization of 961

961 = 31 x 31

Step 2: Find the prime factorization of 968

968 = 2 x 2 x 2 x 11 x 11

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

LCM = 930248 = 2 x 2 x 2 x 11 x 11 x 31 x 31

Step 4: Therefore, the least common multiple of 961 and 968 is 930248.