Least Common Multiple of 964 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 964 and 966 the smallest integer that is 465612 that is divisible by both numbers.

Least Common Multiple (LCM) of 964 and 966 is 465612.

LCM(964,966) = 465612

LCM of 964 and 966

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

LCM of:
and

Least Common Multiple of 964 and 966

LCM of 964 and 966 is 465612

Least common multiple can be found by multiplying the highest exponent prime factors of 964 and 966. First we will calculate the prime factors of 964 and 966.

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

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 964 and 966.

LCM(964,966) = 22×31×71×231×2411
LCM(964,966) = 465612

Factors of 964

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

1, 2, 4, 241, 482, 964

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 964 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 964 and 966, than apply into the LCM equation.

GCF(964,966) = 2
LCM(964,966) = ( 964 × 966) / 2
LCM(964,966) = 931224 / 2
LCM(964,966) = 465612

Properties of LCM 964 and 966

(i) The LCM of 966 and 964 is associative

LCM of 964 and 966 = LCM of 966 and 964

Related Least Common Multiples of 964

Related Least Common Multiples of 966

Frequently Asked Questions on LCM of 964 and 966

1. What is the LCM of 964 and 966?

Answer: LCM of 964 and 966 is 465612.

2. 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.

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 964 and 966?

Answer:

Least Common Multiple of 964 and 966 = 465612

Step 1: Find the prime factorization of 964

964 = 2 x 2 x 241

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 = 465612 = 2 x 2 x 3 x 7 x 23 x 241

Step 4: Therefore, the least common multiple of 964 and 966 is 465612.