Least Common Multiple of 964 and 968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 964 and 968 the smallest integer that is 233288 that is divisible by both numbers.

Least Common Multiple (LCM) of 964 and 968 is 233288.

LCM(964,968) = 233288

LCM of 964 and 968

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

LCM of:
and

Least Common Multiple of 964 and 968

LCM of 964 and 968 is 233288

Least common multiple can be found by multiplying the highest exponent prime factors of 964 and 968. First we will calculate the prime factors of 964 and 968.

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

Prime Factorization of 968


2 968
2 484
2 242
11 121
11 11
1

Prime factors of 968 are 2,11. Prime factorization of 968 in exponential form is:

968 = 23×112

Now multiplying the highest exponent prime factors to calculate the LCM of 964 and 968.

LCM(964,968) = 23×112×2411
LCM(964,968) = 233288

Factors of 964

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

1, 2, 4, 241, 482, 964

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Least Common Multiple of 964 and 968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 964 and 968, than apply into the LCM equation.

GCF(964,968) = 4
LCM(964,968) = ( 964 × 968) / 4
LCM(964,968) = 933152 / 4
LCM(964,968) = 233288

Properties of LCM 964 and 968

(i) The LCM of 968 and 964 is associative

LCM of 964 and 968 = LCM of 968 and 964

Related Least Common Multiples of 964

Related Least Common Multiples of 968

Frequently Asked Questions on LCM of 964 and 968

1. What is the LCM of 964 and 968?

Answer: LCM of 964 and 968 is 233288.

2. 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.

3. What are the Factors of 968?

Answer: Factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968. There are 12 integers that are factors of 968. The greatest factor of 968 is 968.

4. How to Find the LCM of 964 and 968?

Answer:

Least Common Multiple of 964 and 968 = 233288

Step 1: Find the prime factorization of 964

964 = 2 x 2 x 241

Step 2: Find the prime factorization of 968

968 = 2 x 2 x 2 x 11 x 11

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

LCM = 233288 = 2 x 2 x 2 x 11 x 11 x 241

Step 4: Therefore, the least common multiple of 964 and 968 is 233288.