Least Common Multiple of 961 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 961 and 969 the smallest integer that is 931209 that is divisible by both numbers.

Least Common Multiple (LCM) of 961 and 969 is 931209.

LCM(961,969) = 931209

LCM of 961 and 969

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

LCM of:
and

Least Common Multiple of 961 and 969

LCM of 961 and 969 is 931209

Least common multiple can be found by multiplying the highest exponent prime factors of 961 and 969. First we will calculate the prime factors of 961 and 969.

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 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 961 and 969.

LCM(961,969) = 31×171×191×312
LCM(961,969) = 931209

Factors of 961

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

1, 31, 961

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 961 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 961 and 969, than apply into the LCM equation.

GCF(961,969) = 1
LCM(961,969) = ( 961 × 969) / 1
LCM(961,969) = 931209 / 1
LCM(961,969) = 931209

Properties of LCM 961 and 969

(i) The LCM of 969 and 961 is associative

LCM of 961 and 969 = LCM of 969 and 961

Related Least Common Multiples of 961

Related Least Common Multiples of 969

Frequently Asked Questions on LCM of 961 and 969

1. What is the LCM of 961 and 969?

Answer: LCM of 961 and 969 is 931209.

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 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 961 and 969?

Answer:

Least Common Multiple of 961 and 969 = 931209

Step 1: Find the prime factorization of 961

961 = 31 x 31

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 = 931209 = 3 x 17 x 19 x 31 x 31

Step 4: Therefore, the least common multiple of 961 and 969 is 931209.