Least Common Multiple of 963 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 963 and 964 the smallest integer that is 928332 that is divisible by both numbers.

Least Common Multiple (LCM) of 963 and 964 is 928332.

LCM(963,964) = 928332

LCM of 963 and 964

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

LCM of:
and

Least Common Multiple of 963 and 964

LCM of 963 and 964 is 928332

Least common multiple can be found by multiplying the highest exponent prime factors of 963 and 964. First we will calculate the prime factors of 963 and 964.

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

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 963 and 964.

LCM(963,964) = 22×32×1071×2411
LCM(963,964) = 928332

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

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 963 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 963 and 964, than apply into the LCM equation.

GCF(963,964) = 1
LCM(963,964) = ( 963 × 964) / 1
LCM(963,964) = 928332 / 1
LCM(963,964) = 928332

Properties of LCM 963 and 964

(i) The LCM of 964 and 963 is associative

LCM of 963 and 964 = LCM of 964 and 963

Related Least Common Multiples of 963

Related Least Common Multiples of 964

Frequently Asked Questions on LCM of 963 and 964

1. What is the LCM of 963 and 964?

Answer: LCM of 963 and 964 is 928332.

2. 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.

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 963 and 964?

Answer:

Least Common Multiple of 963 and 964 = 928332

Step 1: Find the prime factorization of 963

963 = 3 x 3 x 107

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 = 928332 = 2 x 2 x 3 x 3 x 107 x 241

Step 4: Therefore, the least common multiple of 963 and 964 is 928332.