Least Common Multiple of 954 and 960

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 960 the smallest integer that is 152640 that is divisible by both numbers.

Least Common Multiple (LCM) of 954 and 960 is 152640.

LCM(954,960) = 152640

LCM of 954 and 960

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

LCM of:
and

Least Common Multiple of 954 and 960

LCM of 954 and 960 is 152640

Least common multiple can be found by multiplying the highest exponent prime factors of 954 and 960. First we will calculate the prime factors of 954 and 960.

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 960


2 960
2 480
2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 960 are 2, 3,5. Prime factorization of 960 in exponential form is:

960 = 26×31×51

Now multiplying the highest exponent prime factors to calculate the LCM of 954 and 960.

LCM(954,960) = 26×32×51×531
LCM(954,960) = 152640

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 960

List of positive integer factors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Least Common Multiple of 954 and 960 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 960, than apply into the LCM equation.

GCF(954,960) = 6
LCM(954,960) = ( 954 × 960) / 6
LCM(954,960) = 915840 / 6
LCM(954,960) = 152640

Properties of LCM 954 and 960

(i) The LCM of 960 and 954 is associative

LCM of 954 and 960 = LCM of 960 and 954

Related Least Common Multiples of 954

Related Least Common Multiples of 960

Frequently Asked Questions on LCM of 954 and 960

1. What is the LCM of 954 and 960?

Answer: LCM of 954 and 960 is 152640.

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 960?

Answer: Factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960. There are 28 integers that are factors of 960. The greatest factor of 960 is 960.

4. How to Find the LCM of 954 and 960?

Answer:

Least Common Multiple of 954 and 960 = 152640

Step 1: Find the prime factorization of 954

954 = 2 x 3 x 3 x 53

Step 2: Find the prime factorization of 960

960 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

LCM = 152640 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 53

Step 4: Therefore, the least common multiple of 954 and 960 is 152640.