Least Common Multiple of 958 and 966

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 966 the smallest integer that is 462714 that is divisible by both numbers.

Least Common Multiple (LCM) of 958 and 966 is 462714.

LCM(958,966) = 462714

LCM of 958 and 966

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

LCM of:
and

Least Common Multiple of 958 and 966

LCM of 958 and 966 is 462714

Least common multiple can be found by multiplying the highest exponent prime factors of 958 and 966. First we will calculate the prime factors of 958 and 966.

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 966


2 966
3 483
7 161
23 23
1

Prime factors of 966 are 2, 3, 7,23. Prime factorization of 966 in exponential form is:

966 = 21×31×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 958 and 966.

LCM(958,966) = 21×31×71×231×4791
LCM(958,966) = 462714

Factors of 958

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

1, 2, 479, 958

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Least Common Multiple of 958 and 966 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 966, than apply into the LCM equation.

GCF(958,966) = 2
LCM(958,966) = ( 958 × 966) / 2
LCM(958,966) = 925428 / 2
LCM(958,966) = 462714

Properties of LCM 958 and 966

(i) The LCM of 966 and 958 is associative

LCM of 958 and 966 = LCM of 966 and 958

Related Least Common Multiples of 958

Related Least Common Multiples of 966

Frequently Asked Questions on LCM of 958 and 966

1. What is the LCM of 958 and 966?

Answer: LCM of 958 and 966 is 462714.

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 966?

Answer: Factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966. There are 16 integers that are factors of 966. The greatest factor of 966 is 966.

4. How to Find the LCM of 958 and 966?

Answer:

Least Common Multiple of 958 and 966 = 462714

Step 1: Find the prime factorization of 958

958 = 2 x 479

Step 2: Find the prime factorization of 966

966 = 2 x 3 x 7 x 23

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

LCM = 462714 = 2 x 3 x 7 x 23 x 479

Step 4: Therefore, the least common multiple of 958 and 966 is 462714.