Least Common Multiple of 952 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 952 and 960 the smallest integer that is 114240 that is divisible by both numbers.

Least Common Multiple (LCM) of 952 and 960 is 114240.

LCM(952,960) = 114240

LCM of 952 and 960

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

LCM of:
and

Least Common Multiple of 952 and 960

LCM of 952 and 960 is 114240

Least common multiple can be found by multiplying the highest exponent prime factors of 952 and 960. First we will calculate the prime factors of 952 and 960.

Prime Factorization of 952


2 952
2 476
2 238
7 119
17 17
1

Prime factors of 952 are 2, 7,17. Prime factorization of 952 in exponential form is:

952 = 23×71×171

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 952 and 960.

LCM(952,960) = 26×31×51×71×171
LCM(952,960) = 114240

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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 952 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 952 and 960, than apply into the LCM equation.

GCF(952,960) = 8
LCM(952,960) = ( 952 × 960) / 8
LCM(952,960) = 913920 / 8
LCM(952,960) = 114240

Properties of LCM 952 and 960

(i) The LCM of 960 and 952 is associative

LCM of 952 and 960 = LCM of 960 and 952

Related Least Common Multiples of 952

Related Least Common Multiples of 960

Frequently Asked Questions on LCM of 952 and 960

1. What is the LCM of 952 and 960?

Answer: LCM of 952 and 960 is 114240.

2. What are the Factors of 952?

Answer: Factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952. There are 16 integers that are factors of 952. The greatest factor of 952 is 952.

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 952 and 960?

Answer:

Least Common Multiple of 952 and 960 = 114240

Step 1: Find the prime factorization of 952

952 = 2 x 2 x 2 x 7 x 17

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 = 114240 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17

Step 4: Therefore, the least common multiple of 952 and 960 is 114240.