Least Common Multiple of 958 and 962

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 962 the smallest integer that is 460798 that is divisible by both numbers.

Least Common Multiple (LCM) of 958 and 962 is 460798.

LCM(958,962) = 460798

LCM of 958 and 962

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

LCM of:
and

Least Common Multiple of 958 and 962

LCM of 958 and 962 is 460798

Least common multiple can be found by multiplying the highest exponent prime factors of 958 and 962. First we will calculate the prime factors of 958 and 962.

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 962


2 962
13 481
37 37
1

Prime factors of 962 are 2, 13,37. Prime factorization of 962 in exponential form is:

962 = 21×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 958 and 962.

LCM(958,962) = 21×131×371×4791
LCM(958,962) = 460798

Factors of 958

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

1, 2, 479, 958

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Least Common Multiple of 958 and 962 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 962, than apply into the LCM equation.

GCF(958,962) = 2
LCM(958,962) = ( 958 × 962) / 2
LCM(958,962) = 921596 / 2
LCM(958,962) = 460798

Properties of LCM 958 and 962

(i) The LCM of 962 and 958 is associative

LCM of 958 and 962 = LCM of 962 and 958

Related Least Common Multiples of 958

Related Least Common Multiples of 962

Frequently Asked Questions on LCM of 958 and 962

1. What is the LCM of 958 and 962?

Answer: LCM of 958 and 962 is 460798.

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 962?

Answer: Factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962. There are 8 integers that are factors of 962. The greatest factor of 962 is 962.

4. How to Find the LCM of 958 and 962?

Answer:

Least Common Multiple of 958 and 962 = 460798

Step 1: Find the prime factorization of 958

958 = 2 x 479

Step 2: Find the prime factorization of 962

962 = 2 x 13 x 37

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

LCM = 460798 = 2 x 13 x 37 x 479

Step 4: Therefore, the least common multiple of 958 and 962 is 460798.