Least Common Multiple of 956 and 964

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 964 the smallest integer that is 230396 that is divisible by both numbers.

Least Common Multiple (LCM) of 956 and 964 is 230396.

LCM(956,964) = 230396

LCM of 956 and 964

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

LCM of:
and

Least Common Multiple of 956 and 964

LCM of 956 and 964 is 230396

Least common multiple can be found by multiplying the highest exponent prime factors of 956 and 964. First we will calculate the prime factors of 956 and 964.

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 964


2 964
2 482
241 241
1

Prime factors of 964 are 2,241. Prime factorization of 964 in exponential form is:

964 = 22×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 956 and 964.

LCM(956,964) = 22×2391×2411
LCM(956,964) = 230396

Factors of 956

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

1, 2, 4, 239, 478, 956

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Least Common Multiple of 956 and 964 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 964, than apply into the LCM equation.

GCF(956,964) = 4
LCM(956,964) = ( 956 × 964) / 4
LCM(956,964) = 921584 / 4
LCM(956,964) = 230396

Properties of LCM 956 and 964

(i) The LCM of 964 and 956 is associative

LCM of 956 and 964 = LCM of 964 and 956

Related Least Common Multiples of 956

Related Least Common Multiples of 964

Frequently Asked Questions on LCM of 956 and 964

1. What is the LCM of 956 and 964?

Answer: LCM of 956 and 964 is 230396.

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 964?

Answer: Factors of 964 are 1, 2, 4, 241, 482, 964. There are 6 integers that are factors of 964. The greatest factor of 964 is 964.

4. How to Find the LCM of 956 and 964?

Answer:

Least Common Multiple of 956 and 964 = 230396

Step 1: Find the prime factorization of 956

956 = 2 x 2 x 239

Step 2: Find the prime factorization of 964

964 = 2 x 2 x 241

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

LCM = 230396 = 2 x 2 x 239 x 241

Step 4: Therefore, the least common multiple of 956 and 964 is 230396.