Least Common Multiple of 953 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 953 and 960 the smallest integer that is 914880 that is divisible by both numbers.

Least Common Multiple (LCM) of 953 and 960 is 914880.

LCM(953,960) = 914880

LCM of 953 and 960

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

LCM of:
and

Least Common Multiple of 953 and 960

LCM of 953 and 960 is 914880

Least common multiple can be found by multiplying the highest exponent prime factors of 953 and 960. First we will calculate the prime factors of 953 and 960.

Prime Factorization of 953


953 953
1

Prime factors of 953 are 953. Prime factorization of 953 in exponential form is:

953 = 9531

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 953 and 960.

LCM(953,960) = 26×31×51×9531
LCM(953,960) = 914880

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1, 953

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 953 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 953 and 960, than apply into the LCM equation.

GCF(953,960) = 1
LCM(953,960) = ( 953 × 960) / 1
LCM(953,960) = 914880 / 1
LCM(953,960) = 914880

Properties of LCM 953 and 960

(i) The LCM of 960 and 953 is associative

LCM of 953 and 960 = LCM of 960 and 953

Related Least Common Multiples of 953

Related Least Common Multiples of 960

Frequently Asked Questions on LCM of 953 and 960

1. What is the LCM of 953 and 960?

Answer: LCM of 953 and 960 is 914880.

2. What are the Factors of 953?

Answer: Factors of 953 are 1, 953. There are 2 integers that are factors of 953. The greatest factor of 953 is 953.

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 953 and 960?

Answer:

Least Common Multiple of 953 and 960 = 914880

Step 1: Find the prime factorization of 953

953 = 953

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 = 914880 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 953

Step 4: Therefore, the least common multiple of 953 and 960 is 914880.