Least Common Multiple of 958 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 958 and 960 the smallest integer that is 459840 that is divisible by both numbers.

Least Common Multiple (LCM) of 958 and 960 is 459840.

LCM(958,960) = 459840

LCM of 958 and 960

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

LCM of:
and

Least Common Multiple of 958 and 960

LCM of 958 and 960 is 459840

Least common multiple can be found by multiplying the highest exponent prime factors of 958 and 960. First we will calculate the prime factors of 958 and 960.

Prime Factorization of 958


2 958
479 479
1

Prime factors of 958 are 2,479. Prime factorization of 958 in exponential form is:

958 = 21×4791

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 958 and 960.

LCM(958,960) = 26×31×51×4791
LCM(958,960) = 459840

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1, 2, 479, 958

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 958 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 958 and 960, than apply into the LCM equation.

GCF(958,960) = 2
LCM(958,960) = ( 958 × 960) / 2
LCM(958,960) = 919680 / 2
LCM(958,960) = 459840

Properties of LCM 958 and 960

(i) The LCM of 960 and 958 is associative

LCM of 958 and 960 = LCM of 960 and 958

Related Least Common Multiples of 958

Related Least Common Multiples of 960

Frequently Asked Questions on LCM of 958 and 960

1. What is the LCM of 958 and 960?

Answer: LCM of 958 and 960 is 459840.

2. What are the Factors of 958?

Answer: Factors of 958 are 1, 2, 479, 958. There are 4 integers that are factors of 958. The greatest factor of 958 is 958.

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 958 and 960?

Answer:

Least Common Multiple of 958 and 960 = 459840

Step 1: Find the prime factorization of 958

958 = 2 x 479

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 = 459840 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 479

Step 4: Therefore, the least common multiple of 958 and 960 is 459840.