Least Common Multiple of 959 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 959 and 966 the smallest integer that is 132342 that is divisible by both numbers.

Least Common Multiple (LCM) of 959 and 966 is 132342.

LCM(959,966) = 132342

LCM of 959 and 966

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

LCM of:
and

Least Common Multiple of 959 and 966

LCM of 959 and 966 is 132342

Least common multiple can be found by multiplying the highest exponent prime factors of 959 and 966. First we will calculate the prime factors of 959 and 966.

Prime Factorization of 959


7 959
137 137
1

Prime factors of 959 are 7,137. Prime factorization of 959 in exponential form is:

959 = 71×1371

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 959 and 966.

LCM(959,966) = 21×31×71×231×1371
LCM(959,966) = 132342

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1, 7, 137, 959

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 959 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 959 and 966, than apply into the LCM equation.

GCF(959,966) = 7
LCM(959,966) = ( 959 × 966) / 7
LCM(959,966) = 926394 / 7
LCM(959,966) = 132342

Properties of LCM 959 and 966

(i) The LCM of 966 and 959 is associative

LCM of 959 and 966 = LCM of 966 and 959

Related Least Common Multiples of 959

Related Least Common Multiples of 966

Frequently Asked Questions on LCM of 959 and 966

1. What is the LCM of 959 and 966?

Answer: LCM of 959 and 966 is 132342.

2. What are the Factors of 959?

Answer: Factors of 959 are 1, 7, 137, 959. There are 4 integers that are factors of 959. The greatest factor of 959 is 959.

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 959 and 966?

Answer:

Least Common Multiple of 959 and 966 = 132342

Step 1: Find the prime factorization of 959

959 = 7 x 137

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 = 132342 = 2 x 3 x 7 x 23 x 137

Step 4: Therefore, the least common multiple of 959 and 966 is 132342.