Least Common Multiple of 967 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 967 and 969 the smallest integer that is 937023 that is divisible by both numbers.

Least Common Multiple (LCM) of 967 and 969 is 937023.

LCM(967,969) = 937023

LCM of 967 and 969

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

LCM of:
and

Least Common Multiple of 967 and 969

LCM of 967 and 969 is 937023

Least common multiple can be found by multiplying the highest exponent prime factors of 967 and 969. First we will calculate the prime factors of 967 and 969.

Prime Factorization of 967


967 967
1

Prime factors of 967 are 967. Prime factorization of 967 in exponential form is:

967 = 9671

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 967 and 969.

LCM(967,969) = 31×171×191×9671
LCM(967,969) = 937023

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1, 967

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 967 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 967 and 969, than apply into the LCM equation.

GCF(967,969) = 1
LCM(967,969) = ( 967 × 969) / 1
LCM(967,969) = 937023 / 1
LCM(967,969) = 937023

Properties of LCM 967 and 969

(i) The LCM of 969 and 967 is associative

LCM of 967 and 969 = LCM of 969 and 967

Related Least Common Multiples of 967

Related Least Common Multiples of 969

Frequently Asked Questions on LCM of 967 and 969

1. What is the LCM of 967 and 969?

Answer: LCM of 967 and 969 is 937023.

2. What are the Factors of 967?

Answer: Factors of 967 are 1, 967. There are 2 integers that are factors of 967. The greatest factor of 967 is 967.

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 967 and 969?

Answer:

Least Common Multiple of 967 and 969 = 937023

Step 1: Find the prime factorization of 967

967 = 967

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 = 937023 = 3 x 17 x 19 x 967

Step 4: Therefore, the least common multiple of 967 and 969 is 937023.