Least Common Multiple of 958 and 964

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 964 the smallest integer that is 461756 that is divisible by both numbers.

Least Common Multiple (LCM) of 958 and 964 is 461756.

LCM(958,964) = 461756

LCM of 958 and 964

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

LCM of:
and

Least Common Multiple of 958 and 964

LCM of 958 and 964 is 461756

Least common multiple can be found by multiplying the highest exponent prime factors of 958 and 964. First we will calculate the prime factors of 958 and 964.

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 964


2 964
2 482
241 241
1

Prime factors of 964 are 2,241. Prime factorization of 964 in exponential form is:

964 = 22×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 958 and 964.

LCM(958,964) = 22×2411×4791
LCM(958,964) = 461756

Factors of 958

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

1, 2, 479, 958

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Least Common Multiple of 958 and 964 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 964, than apply into the LCM equation.

GCF(958,964) = 2
LCM(958,964) = ( 958 × 964) / 2
LCM(958,964) = 923512 / 2
LCM(958,964) = 461756

Properties of LCM 958 and 964

(i) The LCM of 964 and 958 is associative

LCM of 958 and 964 = LCM of 964 and 958

Related Least Common Multiples of 958

Related Least Common Multiples of 964

Frequently Asked Questions on LCM of 958 and 964

1. What is the LCM of 958 and 964?

Answer: LCM of 958 and 964 is 461756.

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 964?

Answer: Factors of 964 are 1, 2, 4, 241, 482, 964. There are 6 integers that are factors of 964. The greatest factor of 964 is 964.

4. How to Find the LCM of 958 and 964?

Answer:

Least Common Multiple of 958 and 964 = 461756

Step 1: Find the prime factorization of 958

958 = 2 x 479

Step 2: Find the prime factorization of 964

964 = 2 x 2 x 241

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

LCM = 461756 = 2 x 2 x 241 x 479

Step 4: Therefore, the least common multiple of 958 and 964 is 461756.