Least Common Multiple of 954 and 956

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 956 the smallest integer that is 456012 that is divisible by both numbers.

Least Common Multiple (LCM) of 954 and 956 is 456012.

LCM(954,956) = 456012

LCM of 954 and 956

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

LCM of:
and

Least Common Multiple of 954 and 956

LCM of 954 and 956 is 456012

Least common multiple can be found by multiplying the highest exponent prime factors of 954 and 956. First we will calculate the prime factors of 954 and 956.

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 956


2 956
2 478
239 239
1

Prime factors of 956 are 2,239. Prime factorization of 956 in exponential form is:

956 = 22×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 954 and 956.

LCM(954,956) = 22×32×531×2391
LCM(954,956) = 456012

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 956

List of positive integer factors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Least Common Multiple of 954 and 956 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 956, than apply into the LCM equation.

GCF(954,956) = 2
LCM(954,956) = ( 954 × 956) / 2
LCM(954,956) = 912024 / 2
LCM(954,956) = 456012

Properties of LCM 954 and 956

(i) The LCM of 956 and 954 is associative

LCM of 954 and 956 = LCM of 956 and 954

Related Least Common Multiples of 954

Related Least Common Multiples of 956

Frequently Asked Questions on LCM of 954 and 956

1. What is the LCM of 954 and 956?

Answer: LCM of 954 and 956 is 456012.

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 956?

Answer: Factors of 956 are 1, 2, 4, 239, 478, 956. There are 6 integers that are factors of 956. The greatest factor of 956 is 956.

4. How to Find the LCM of 954 and 956?

Answer:

Least Common Multiple of 954 and 956 = 456012

Step 1: Find the prime factorization of 954

954 = 2 x 3 x 3 x 53

Step 2: Find the prime factorization of 956

956 = 2 x 2 x 239

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

LCM = 456012 = 2 x 2 x 3 x 3 x 53 x 239

Step 4: Therefore, the least common multiple of 954 and 956 is 456012.