Least Common Multiple of 964 and 969

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 969 the smallest integer that is 934116 that is divisible by both numbers.

Least Common Multiple (LCM) of 964 and 969 is 934116.

LCM(964,969) = 934116

LCM of 964 and 969

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

LCM of:
and

Least Common Multiple of 964 and 969

LCM of 964 and 969 is 934116

Least common multiple can be found by multiplying the highest exponent prime factors of 964 and 969. First we will calculate the prime factors of 964 and 969.

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 969


3 969
17 323
19 19
1

Prime factors of 969 are 3, 17,19. Prime factorization of 969 in exponential form is:

969 = 31×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 964 and 969.

LCM(964,969) = 22×31×171×191×2411
LCM(964,969) = 934116

Factors of 964

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

1, 2, 4, 241, 482, 964

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Least Common Multiple of 964 and 969 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 969, than apply into the LCM equation.

GCF(964,969) = 1
LCM(964,969) = ( 964 × 969) / 1
LCM(964,969) = 934116 / 1
LCM(964,969) = 934116

Properties of LCM 964 and 969

(i) The LCM of 969 and 964 is associative

LCM of 964 and 969 = LCM of 969 and 964

Related Least Common Multiples of 964

Related Least Common Multiples of 969

Frequently Asked Questions on LCM of 964 and 969

1. What is the LCM of 964 and 969?

Answer: LCM of 964 and 969 is 934116.

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 969?

Answer: Factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969. There are 8 integers that are factors of 969. The greatest factor of 969 is 969.

4. How to Find the LCM of 964 and 969?

Answer:

Least Common Multiple of 964 and 969 = 934116

Step 1: Find the prime factorization of 964

964 = 2 x 2 x 241

Step 2: Find the prime factorization of 969

969 = 3 x 17 x 19

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

LCM = 934116 = 2 x 2 x 3 x 17 x 19 x 241

Step 4: Therefore, the least common multiple of 964 and 969 is 934116.