Least Common Multiple of 957 and 958

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 958 the smallest integer that is 916806 that is divisible by both numbers.

Least Common Multiple (LCM) of 957 and 958 is 916806.

LCM(957,958) = 916806

LCM of 957 and 958

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

LCM of:
and

Least Common Multiple of 957 and 958

LCM of 957 and 958 is 916806

Least common multiple can be found by multiplying the highest exponent prime factors of 957 and 958. First we will calculate the prime factors of 957 and 958.

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 958


2 958
479 479
1

Prime factors of 958 are 2,479. Prime factorization of 958 in exponential form is:

958 = 21×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 957 and 958.

LCM(957,958) = 21×31×111×291×4791
LCM(957,958) = 916806

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 958

List of positive integer factors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Least Common Multiple of 957 and 958 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 958, than apply into the LCM equation.

GCF(957,958) = 1
LCM(957,958) = ( 957 × 958) / 1
LCM(957,958) = 916806 / 1
LCM(957,958) = 916806

Properties of LCM 957 and 958

(i) The LCM of 958 and 957 is associative

LCM of 957 and 958 = LCM of 958 and 957

Related Least Common Multiples of 957

Related Least Common Multiples of 958

Frequently Asked Questions on LCM of 957 and 958

1. What is the LCM of 957 and 958?

Answer: LCM of 957 and 958 is 916806.

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 958?

Answer: Factors of 958 are 1, 2, 479, 958. There are 4 integers that are factors of 958. The greatest factor of 958 is 958.

4. How to Find the LCM of 957 and 958?

Answer:

Least Common Multiple of 957 and 958 = 916806

Step 1: Find the prime factorization of 957

957 = 3 x 11 x 29

Step 2: Find the prime factorization of 958

958 = 2 x 479

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

LCM = 916806 = 2 x 3 x 11 x 29 x 479

Step 4: Therefore, the least common multiple of 957 and 958 is 916806.