Least Common Multiple of 957 and 962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 957 and 962 the smallest integer that is 920634 that is divisible by both numbers.

Least Common Multiple (LCM) of 957 and 962 is 920634.

LCM(957,962) = 920634

LCM of 957 and 962

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

LCM of:
and

Least Common Multiple of 957 and 962

LCM of 957 and 962 is 920634

Least common multiple can be found by multiplying the highest exponent prime factors of 957 and 962. First we will calculate the prime factors of 957 and 962.

Prime Factorization of 957


3 957
11 319
29 29
1

Prime factors of 957 are 3, 11,29. Prime factorization of 957 in exponential form is:

957 = 31×111×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 957 and 962.

LCM(957,962) = 21×31×111×131×291×371
LCM(957,962) = 920634

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Factors of 962

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

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

Least Common Multiple of 957 and 962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 957 and 962, than apply into the LCM equation.

GCF(957,962) = 1
LCM(957,962) = ( 957 × 962) / 1
LCM(957,962) = 920634 / 1
LCM(957,962) = 920634

Properties of LCM 957 and 962

(i) The LCM of 962 and 957 is associative

LCM of 957 and 962 = LCM of 962 and 957

Related Least Common Multiples of 957

Related Least Common Multiples of 962

Frequently Asked Questions on LCM of 957 and 962

1. What is the LCM of 957 and 962?

Answer: LCM of 957 and 962 is 920634.

2. What are the Factors of 957?

Answer: Factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957. There are 8 integers that are factors of 957. The greatest factor of 957 is 957.

3. 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.

4. How to Find the LCM of 957 and 962?

Answer:

Least Common Multiple of 957 and 962 = 920634

Step 1: Find the prime factorization of 957

957 = 3 x 11 x 29

Step 2: Find the prime factorization of 962

962 = 2 x 13 x 37

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

LCM = 920634 = 2 x 3 x 11 x 13 x 29 x 37

Step 4: Therefore, the least common multiple of 957 and 962 is 920634.