Least Common Multiple of 956 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 956 and 963 the smallest integer that is 920628 that is divisible by both numbers.

Least Common Multiple (LCM) of 956 and 963 is 920628.

LCM(956,963) = 920628

LCM of 956 and 963

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

LCM of:
and

Least Common Multiple of 956 and 963

LCM of 956 and 963 is 920628

Least common multiple can be found by multiplying the highest exponent prime factors of 956 and 963. First we will calculate the prime factors of 956 and 963.

Prime Factorization of 956


2 956
2 478
239 239
1

Prime factors of 956 are 2,239. Prime factorization of 956 in exponential form is:

956 = 22×2391

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 956 and 963.

LCM(956,963) = 22×32×1071×2391
LCM(956,963) = 920628

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

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 956 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 956 and 963, than apply into the LCM equation.

GCF(956,963) = 1
LCM(956,963) = ( 956 × 963) / 1
LCM(956,963) = 920628 / 1
LCM(956,963) = 920628

Properties of LCM 956 and 963

(i) The LCM of 963 and 956 is associative

LCM of 956 and 963 = LCM of 963 and 956

Related Least Common Multiples of 956

Related Least Common Multiples of 963

Frequently Asked Questions on LCM of 956 and 963

1. What is the LCM of 956 and 963?

Answer: LCM of 956 and 963 is 920628.

2. What are the Factors of 956?

Answer: Factors of 956 are 1, 2, 4, 239, 478, 956. There are 6 integers that are factors of 956. The greatest factor of 956 is 956.

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 956 and 963?

Answer:

Least Common Multiple of 956 and 963 = 920628

Step 1: Find the prime factorization of 956

956 = 2 x 2 x 239

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 = 920628 = 2 x 2 x 3 x 3 x 107 x 239

Step 4: Therefore, the least common multiple of 956 and 963 is 920628.