Least Common Multiple of 968 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 968 and 971 the smallest integer that is 939928 that is divisible by both numbers.

Least Common Multiple (LCM) of 968 and 971 is 939928.

LCM(968,971) = 939928

LCM of 968 and 971

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

LCM of:
and

Least Common Multiple of 968 and 971

LCM of 968 and 971 is 939928

Least common multiple can be found by multiplying the highest exponent prime factors of 968 and 971. First we will calculate the prime factors of 968 and 971.

Prime Factorization of 968


2 968
2 484
2 242
11 121
11 11
1

Prime factors of 968 are 2,11. Prime factorization of 968 in exponential form is:

968 = 23×112

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 968 and 971.

LCM(968,971) = 23×112×9711
LCM(968,971) = 939928

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Factors of 971

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

1, 971

Least Common Multiple of 968 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 968 and 971, than apply into the LCM equation.

GCF(968,971) = 1
LCM(968,971) = ( 968 × 971) / 1
LCM(968,971) = 939928 / 1
LCM(968,971) = 939928

Properties of LCM 968 and 971

(i) The LCM of 971 and 968 is associative

LCM of 968 and 971 = LCM of 971 and 968

Related Least Common Multiples of 968

Related Least Common Multiples of 971

Frequently Asked Questions on LCM of 968 and 971

1. What is the LCM of 968 and 971?

Answer: LCM of 968 and 971 is 939928.

2. What are the Factors of 968?

Answer: Factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968. There are 12 integers that are factors of 968. The greatest factor of 968 is 968.

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 968 and 971?

Answer:

Least Common Multiple of 968 and 971 = 939928

Step 1: Find the prime factorization of 968

968 = 2 x 2 x 2 x 11 x 11

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 = 939928 = 2 x 2 x 2 x 11 x 11 x 971

Step 4: Therefore, the least common multiple of 968 and 971 is 939928.