Least Common Multiple of 969 and 976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 969 and 976 the smallest integer that is 945744 that is divisible by both numbers.

Least Common Multiple (LCM) of 969 and 976 is 945744.

LCM(969,976) = 945744

LCM of 969 and 976

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

LCM of:
and

Least Common Multiple of 969 and 976

LCM of 969 and 976 is 945744

Least common multiple can be found by multiplying the highest exponent prime factors of 969 and 976. First we will calculate the prime factors of 969 and 976.

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

Prime Factorization of 976


2 976
2 488
2 244
2 122
61 61
1

Prime factors of 976 are 2,61. Prime factorization of 976 in exponential form is:

976 = 24×611

Now multiplying the highest exponent prime factors to calculate the LCM of 969 and 976.

LCM(969,976) = 24×31×171×191×611
LCM(969,976) = 945744

Factors of 969

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

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

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Least Common Multiple of 969 and 976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 969 and 976, than apply into the LCM equation.

GCF(969,976) = 1
LCM(969,976) = ( 969 × 976) / 1
LCM(969,976) = 945744 / 1
LCM(969,976) = 945744

Properties of LCM 969 and 976

(i) The LCM of 976 and 969 is associative

LCM of 969 and 976 = LCM of 976 and 969

Related Least Common Multiples of 969

Related Least Common Multiples of 976

Frequently Asked Questions on LCM of 969 and 976

1. What is the LCM of 969 and 976?

Answer: LCM of 969 and 976 is 945744.

2. 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.

3. What are the Factors of 976?

Answer: Factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976. There are 10 integers that are factors of 976. The greatest factor of 976 is 976.

4. How to Find the LCM of 969 and 976?

Answer:

Least Common Multiple of 969 and 976 = 945744

Step 1: Find the prime factorization of 969

969 = 3 x 17 x 19

Step 2: Find the prime factorization of 976

976 = 2 x 2 x 2 x 2 x 61

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

LCM = 945744 = 2 x 2 x 2 x 2 x 3 x 17 x 19 x 61

Step 4: Therefore, the least common multiple of 969 and 976 is 945744.