Least Common Multiple of 957 and 959

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 959 the smallest integer that is 917763 that is divisible by both numbers.

Least Common Multiple (LCM) of 957 and 959 is 917763.

LCM(957,959) = 917763

LCM of 957 and 959

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

LCM of:
and

Least Common Multiple of 957 and 959

LCM of 957 and 959 is 917763

Least common multiple can be found by multiplying the highest exponent prime factors of 957 and 959. First we will calculate the prime factors of 957 and 959.

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 959


7 959
137 137
1

Prime factors of 959 are 7,137. Prime factorization of 959 in exponential form is:

959 = 71×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 957 and 959.

LCM(957,959) = 31×71×111×291×1371
LCM(957,959) = 917763

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 959

List of positive integer factors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Least Common Multiple of 957 and 959 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 959, than apply into the LCM equation.

GCF(957,959) = 1
LCM(957,959) = ( 957 × 959) / 1
LCM(957,959) = 917763 / 1
LCM(957,959) = 917763

Properties of LCM 957 and 959

(i) The LCM of 959 and 957 is associative

LCM of 957 and 959 = LCM of 959 and 957

Related Least Common Multiples of 957

Related Least Common Multiples of 959

Frequently Asked Questions on LCM of 957 and 959

1. What is the LCM of 957 and 959?

Answer: LCM of 957 and 959 is 917763.

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 959?

Answer: Factors of 959 are 1, 7, 137, 959. There are 4 integers that are factors of 959. The greatest factor of 959 is 959.

4. How to Find the LCM of 957 and 959?

Answer:

Least Common Multiple of 957 and 959 = 917763

Step 1: Find the prime factorization of 957

957 = 3 x 11 x 29

Step 2: Find the prime factorization of 959

959 = 7 x 137

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

LCM = 917763 = 3 x 7 x 11 x 29 x 137

Step 4: Therefore, the least common multiple of 957 and 959 is 917763.