Least Common Multiple of 956 and 961

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 961 the smallest integer that is 918716 that is divisible by both numbers.

Least Common Multiple (LCM) of 956 and 961 is 918716.

LCM(956,961) = 918716

LCM of 956 and 961

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

LCM of:
and

Least Common Multiple of 956 and 961

LCM of 956 and 961 is 918716

Least common multiple can be found by multiplying the highest exponent prime factors of 956 and 961. First we will calculate the prime factors of 956 and 961.

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 961


31 961
31 31
1

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

961 = 312

Now multiplying the highest exponent prime factors to calculate the LCM of 956 and 961.

LCM(956,961) = 22×312×2391
LCM(956,961) = 918716

Factors of 956

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

1, 2, 4, 239, 478, 956

Factors of 961

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

1, 31, 961

Least Common Multiple of 956 and 961 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 961, than apply into the LCM equation.

GCF(956,961) = 1
LCM(956,961) = ( 956 × 961) / 1
LCM(956,961) = 918716 / 1
LCM(956,961) = 918716

Properties of LCM 956 and 961

(i) The LCM of 961 and 956 is associative

LCM of 956 and 961 = LCM of 961 and 956

Related Least Common Multiples of 956

Related Least Common Multiples of 961

Frequently Asked Questions on LCM of 956 and 961

1. What is the LCM of 956 and 961?

Answer: LCM of 956 and 961 is 918716.

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 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.

4. How to Find the LCM of 956 and 961?

Answer:

Least Common Multiple of 956 and 961 = 918716

Step 1: Find the prime factorization of 956

956 = 2 x 2 x 239

Step 2: Find the prime factorization of 961

961 = 31 x 31

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

LCM = 918716 = 2 x 2 x 31 x 31 x 239

Step 4: Therefore, the least common multiple of 956 and 961 is 918716.