Least Common Multiple of 969 and 971

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 971 the smallest integer that is 940899 that is divisible by both numbers.

Least Common Multiple (LCM) of 969 and 971 is 940899.

LCM(969,971) = 940899

LCM of 969 and 971

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

LCM of:
and

Least Common Multiple of 969 and 971

LCM of 969 and 971 is 940899

Least common multiple can be found by multiplying the highest exponent prime factors of 969 and 971. First we will calculate the prime factors of 969 and 971.

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 971


971 971
1

Prime factors of 971 are 971. Prime factorization of 971 in exponential form is:

971 = 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 969 and 971.

LCM(969,971) = 31×171×191×9711
LCM(969,971) = 940899

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 971

List of positive integer factors of 971 that divides 971 without a remainder.

1, 971

Least Common Multiple of 969 and 971 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 971, than apply into the LCM equation.

GCF(969,971) = 1
LCM(969,971) = ( 969 × 971) / 1
LCM(969,971) = 940899 / 1
LCM(969,971) = 940899

Properties of LCM 969 and 971

(i) The LCM of 971 and 969 is associative

LCM of 969 and 971 = LCM of 971 and 969

Related Least Common Multiples of 969

Related Least Common Multiples of 971

Frequently Asked Questions on LCM of 969 and 971

1. What is the LCM of 969 and 971?

Answer: LCM of 969 and 971 is 940899.

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 971?

Answer: Factors of 971 are 1, 971. There are 2 integers that are factors of 971. The greatest factor of 971 is 971.

4. How to Find the LCM of 969 and 971?

Answer:

Least Common Multiple of 969 and 971 = 940899

Step 1: Find the prime factorization of 969

969 = 3 x 17 x 19

Step 2: Find the prime factorization of 971

971 = 971

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

LCM = 940899 = 3 x 17 x 19 x 971

Step 4: Therefore, the least common multiple of 969 and 971 is 940899.