Least Common Multiple of 962 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 962 and 969 the smallest integer that is 932178 that is divisible by both numbers.

Least Common Multiple (LCM) of 962 and 969 is 932178.

LCM(962,969) = 932178

LCM of 962 and 969

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

LCM of:
and

Least Common Multiple of 962 and 969

LCM of 962 and 969 is 932178

Least common multiple can be found by multiplying the highest exponent prime factors of 962 and 969. First we will calculate the prime factors of 962 and 969.

Prime Factorization of 962


2 962
13 481
37 37
1

Prime factors of 962 are 2, 13,37. Prime factorization of 962 in exponential form is:

962 = 21×131×371

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 962 and 969.

LCM(962,969) = 21×31×131×171×191×371
LCM(962,969) = 932178

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

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 962 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 962 and 969, than apply into the LCM equation.

GCF(962,969) = 1
LCM(962,969) = ( 962 × 969) / 1
LCM(962,969) = 932178 / 1
LCM(962,969) = 932178

Properties of LCM 962 and 969

(i) The LCM of 969 and 962 is associative

LCM of 962 and 969 = LCM of 969 and 962

Related Least Common Multiples of 962

Related Least Common Multiples of 969

Frequently Asked Questions on LCM of 962 and 969

1. What is the LCM of 962 and 969?

Answer: LCM of 962 and 969 is 932178.

2. What are the Factors of 962?

Answer: Factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962. There are 8 integers that are factors of 962. The greatest factor of 962 is 962.

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 962 and 969?

Answer:

Least Common Multiple of 962 and 969 = 932178

Step 1: Find the prime factorization of 962

962 = 2 x 13 x 37

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 = 932178 = 2 x 3 x 13 x 17 x 19 x 37

Step 4: Therefore, the least common multiple of 962 and 969 is 932178.