Least Common Multiple of 954 and 957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 954 and 957 the smallest integer that is 304326 that is divisible by both numbers.

Least Common Multiple (LCM) of 954 and 957 is 304326.

LCM(954,957) = 304326

LCM of 954 and 957

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

LCM of:
and

Least Common Multiple of 954 and 957

LCM of 954 and 957 is 304326

Least common multiple can be found by multiplying the highest exponent prime factors of 954 and 957. First we will calculate the prime factors of 954 and 957.

Prime Factorization of 954


2 954
3 477
3 159
53 53
1

Prime factors of 954 are 2, 3,53. Prime factorization of 954 in exponential form is:

954 = 21×32×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 954 and 957.

LCM(954,957) = 21×32×111×291×531
LCM(954,957) = 304326

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Factors of 957

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

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

Least Common Multiple of 954 and 957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 954 and 957, than apply into the LCM equation.

GCF(954,957) = 3
LCM(954,957) = ( 954 × 957) / 3
LCM(954,957) = 912978 / 3
LCM(954,957) = 304326

Properties of LCM 954 and 957

(i) The LCM of 957 and 954 is associative

LCM of 954 and 957 = LCM of 957 and 954

Related Least Common Multiples of 954

Related Least Common Multiples of 957

Frequently Asked Questions on LCM of 954 and 957

1. What is the LCM of 954 and 957?

Answer: LCM of 954 and 957 is 304326.

2. What are the Factors of 954?

Answer: Factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954. There are 12 integers that are factors of 954. The greatest factor of 954 is 954.

3. 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.

4. How to Find the LCM of 954 and 957?

Answer:

Least Common Multiple of 954 and 957 = 304326

Step 1: Find the prime factorization of 954

954 = 2 x 3 x 3 x 53

Step 2: Find the prime factorization of 957

957 = 3 x 11 x 29

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

LCM = 304326 = 2 x 3 x 3 x 11 x 29 x 53

Step 4: Therefore, the least common multiple of 954 and 957 is 304326.