Least Common Multiple of 966 and 971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 966 and 971 the smallest integer that is 937986 that is divisible by both numbers.

Least Common Multiple (LCM) of 966 and 971 is 937986.

LCM(966,971) = 937986

LCM of 966 and 971

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

LCM of:
and

Least Common Multiple of 966 and 971

LCM of 966 and 971 is 937986

Least common multiple can be found by multiplying the highest exponent prime factors of 966 and 971. First we will calculate the prime factors of 966 and 971.

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

Prime Factorization of 971


971 971
1

Prime factors of 971 are 971. Prime factorization of 971 in exponential form is:

971 = 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 966 and 971.

LCM(966,971) = 21×31×71×231×9711
LCM(966,971) = 937986

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

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1, 971

Least Common Multiple of 966 and 971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 966 and 971, than apply into the LCM equation.

GCF(966,971) = 1
LCM(966,971) = ( 966 × 971) / 1
LCM(966,971) = 937986 / 1
LCM(966,971) = 937986

Properties of LCM 966 and 971

(i) The LCM of 971 and 966 is associative

LCM of 966 and 971 = LCM of 971 and 966

Related Least Common Multiples of 966

Related Least Common Multiples of 971

Frequently Asked Questions on LCM of 966 and 971

1. What is the LCM of 966 and 971?

Answer: LCM of 966 and 971 is 937986.

2. 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.

3. What are the Factors of 971?

Answer: Factors of 971 are 1, 971. There are 2 integers that are factors of 971. The greatest factor of 971 is 971.

4. How to Find the LCM of 966 and 971?

Answer:

Least Common Multiple of 966 and 971 = 937986

Step 1: Find the prime factorization of 966

966 = 2 x 3 x 7 x 23

Step 2: Find the prime factorization of 971

971 = 971

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

LCM = 937986 = 2 x 3 x 7 x 23 x 971

Step 4: Therefore, the least common multiple of 966 and 971 is 937986.