Least Common Multiple of 961 and 963

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 963 the smallest integer that is 925443 that is divisible by both numbers.

Least Common Multiple (LCM) of 961 and 963 is 925443.

LCM(961,963) = 925443

LCM of 961 and 963

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

LCM of:
and

Least Common Multiple of 961 and 963

LCM of 961 and 963 is 925443

Least common multiple can be found by multiplying the highest exponent prime factors of 961 and 963. First we will calculate the prime factors of 961 and 963.

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 963


3 963
3 321
107 107
1

Prime factors of 963 are 3,107. Prime factorization of 963 in exponential form is:

963 = 32×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 961 and 963.

LCM(961,963) = 32×312×1071
LCM(961,963) = 925443

Factors of 961

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

1, 31, 961

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Least Common Multiple of 961 and 963 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 963, than apply into the LCM equation.

GCF(961,963) = 1
LCM(961,963) = ( 961 × 963) / 1
LCM(961,963) = 925443 / 1
LCM(961,963) = 925443

Properties of LCM 961 and 963

(i) The LCM of 963 and 961 is associative

LCM of 961 and 963 = LCM of 963 and 961

Related Least Common Multiples of 961

Related Least Common Multiples of 963

Frequently Asked Questions on LCM of 961 and 963

1. What is the LCM of 961 and 963?

Answer: LCM of 961 and 963 is 925443.

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 963?

Answer: Factors of 963 are 1, 3, 9, 107, 321, 963. There are 6 integers that are factors of 963. The greatest factor of 963 is 963.

4. How to Find the LCM of 961 and 963?

Answer:

Least Common Multiple of 961 and 963 = 925443

Step 1: Find the prime factorization of 961

961 = 31 x 31

Step 2: Find the prime factorization of 963

963 = 3 x 3 x 107

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

LCM = 925443 = 3 x 3 x 31 x 31 x 107

Step 4: Therefore, the least common multiple of 961 and 963 is 925443.