Least Common Multiple of 957 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 957 and 963 the smallest integer that is 307197 that is divisible by both numbers.

Least Common Multiple (LCM) of 957 and 963 is 307197.

LCM(957,963) = 307197

LCM of 957 and 963

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

LCM of:
and

Least Common Multiple of 957 and 963

LCM of 957 and 963 is 307197

Least common multiple can be found by multiplying the highest exponent prime factors of 957 and 963. First we will calculate the prime factors of 957 and 963.

Prime Factorization of 957


3 957
11 319
29 29
1

Prime factors of 957 are 3, 11,29. Prime factorization of 957 in exponential form is:

957 = 31×111×291

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 957 and 963.

LCM(957,963) = 32×111×291×1071
LCM(957,963) = 307197

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

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 957 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 957 and 963, than apply into the LCM equation.

GCF(957,963) = 3
LCM(957,963) = ( 957 × 963) / 3
LCM(957,963) = 921591 / 3
LCM(957,963) = 307197

Properties of LCM 957 and 963

(i) The LCM of 963 and 957 is associative

LCM of 957 and 963 = LCM of 963 and 957

Related Least Common Multiples of 957

Related Least Common Multiples of 963

Frequently Asked Questions on LCM of 957 and 963

1. What is the LCM of 957 and 963?

Answer: LCM of 957 and 963 is 307197.

2. What are the Factors of 957?

Answer: Factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957. There are 8 integers that are factors of 957. The greatest factor of 957 is 957.

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 957 and 963?

Answer:

Least Common Multiple of 957 and 963 = 307197

Step 1: Find the prime factorization of 957

957 = 3 x 11 x 29

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 = 307197 = 3 x 3 x 11 x 29 x 107

Step 4: Therefore, the least common multiple of 957 and 963 is 307197.