Least Common Multiple of 965 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 965 and 969 the smallest integer that is 935085 that is divisible by both numbers.

Least Common Multiple (LCM) of 965 and 969 is 935085.

LCM(965,969) = 935085

LCM of 965 and 969

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

LCM of:
and

Least Common Multiple of 965 and 969

LCM of 965 and 969 is 935085

Least common multiple can be found by multiplying the highest exponent prime factors of 965 and 969. First we will calculate the prime factors of 965 and 969.

Prime Factorization of 965


5 965
193 193
1

Prime factors of 965 are 5,193. Prime factorization of 965 in exponential form is:

965 = 51×1931

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 965 and 969.

LCM(965,969) = 31×51×171×191×1931
LCM(965,969) = 935085

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1, 5, 193, 965

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 965 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 965 and 969, than apply into the LCM equation.

GCF(965,969) = 1
LCM(965,969) = ( 965 × 969) / 1
LCM(965,969) = 935085 / 1
LCM(965,969) = 935085

Properties of LCM 965 and 969

(i) The LCM of 969 and 965 is associative

LCM of 965 and 969 = LCM of 969 and 965

Related Least Common Multiples of 965

Related Least Common Multiples of 969

Frequently Asked Questions on LCM of 965 and 969

1. What is the LCM of 965 and 969?

Answer: LCM of 965 and 969 is 935085.

2. What are the Factors of 965?

Answer: Factors of 965 are 1, 5, 193, 965. There are 4 integers that are factors of 965. The greatest factor of 965 is 965.

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 965 and 969?

Answer:

Least Common Multiple of 965 and 969 = 935085

Step 1: Find the prime factorization of 965

965 = 5 x 193

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 = 935085 = 3 x 5 x 17 x 19 x 193

Step 4: Therefore, the least common multiple of 965 and 969 is 935085.