Least Common Multiple of 7971 and 7976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7971 and 7976 the smallest integer that is 63576696 that is divisible by both numbers.

Least Common Multiple (LCM) of 7971 and 7976 is 63576696.

LCM(7971,7976) = 63576696

LCM of 7971 and 7976

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

LCM of:
and

Least Common Multiple of 7971 and 7976

LCM of 7971 and 7976 is 63576696

Least common multiple can be found by multiplying the highest exponent prime factors of 7971 and 7976. First we will calculate the prime factors of 7971 and 7976.

Prime Factorization of 7971


3 7971
2657 2657
1

Prime factors of 7971 are 3,2657. Prime factorization of 7971 in exponential form is:

7971 = 31×26571

Prime Factorization of 7976


2 7976
2 3988
2 1994
997 997
1

Prime factors of 7976 are 2,997. Prime factorization of 7976 in exponential form is:

7976 = 23×9971

Now multiplying the highest exponent prime factors to calculate the LCM of 7971 and 7976.

LCM(7971,7976) = 23×31×9971×26571
LCM(7971,7976) = 63576696

Factors of 7971

List of positive integer factors of 7971 that divides 7971 without a remainder.

1, 3, 2657, 7971

Factors of 7976

List of positive integer factors of 7976 that divides 7976 without a remainder.

1, 2, 4, 8, 997, 1994, 3988, 7976

Least Common Multiple of 7971 and 7976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7971 and 7976, than apply into the LCM equation.

GCF(7971,7976) = 1
LCM(7971,7976) = ( 7971 × 7976) / 1
LCM(7971,7976) = 63576696 / 1
LCM(7971,7976) = 63576696

Properties of LCM 7971 and 7976

(i) The LCM of 7976 and 7971 is associative

LCM of 7971 and 7976 = LCM of 7976 and 7971

Related Least Common Multiples of 7971

Related Least Common Multiples of 7976

Frequently Asked Questions on LCM of 7971 and 7976

1. What is the LCM of 7971 and 7976?

Answer: LCM of 7971 and 7976 is 63576696.

2. What are the Factors of 7971?

Answer: Factors of 7971 are 1, 3, 2657, 7971. There are 4 integers that are factors of 7971. The greatest factor of 7971 is 7971.

3. What are the Factors of 7976?

Answer: Factors of 7976 are 1, 2, 4, 8, 997, 1994, 3988, 7976. There are 8 integers that are factors of 7976. The greatest factor of 7976 is 7976.

4. How to Find the LCM of 7971 and 7976?

Answer:

Least Common Multiple of 7971 and 7976 = 63576696

Step 1: Find the prime factorization of 7971

7971 = 3 x 2657

Step 2: Find the prime factorization of 7976

7976 = 2 x 2 x 2 x 997

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

LCM = 63576696 = 2 x 2 x 2 x 3 x 997 x 2657

Step 4: Therefore, the least common multiple of 7971 and 7976 is 63576696.