Least Common Multiple of 7970 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 7970 and 7976 the smallest integer that is 31784360 that is divisible by both numbers.

Least Common Multiple (LCM) of 7970 and 7976 is 31784360.

LCM(7970,7976) = 31784360

LCM of 7970 and 7976

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

LCM of:
and

Least Common Multiple of 7970 and 7976

LCM of 7970 and 7976 is 31784360

Least common multiple can be found by multiplying the highest exponent prime factors of 7970 and 7976. First we will calculate the prime factors of 7970 and 7976.

Prime Factorization of 7970


2 7970
5 3985
797 797
1

Prime factors of 7970 are 2, 5,797. Prime factorization of 7970 in exponential form is:

7970 = 21×51×7971

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 7970 and 7976.

LCM(7970,7976) = 23×51×7971×9971
LCM(7970,7976) = 31784360

Factors of 7970

List of positive integer factors of 7970 that divides 7970 without a remainder.

1, 2, 5, 10, 797, 1594, 3985, 7970

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 7970 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 7970 and 7976, than apply into the LCM equation.

GCF(7970,7976) = 2
LCM(7970,7976) = ( 7970 × 7976) / 2
LCM(7970,7976) = 63568720 / 2
LCM(7970,7976) = 31784360

Properties of LCM 7970 and 7976

(i) The LCM of 7976 and 7970 is associative

LCM of 7970 and 7976 = LCM of 7976 and 7970

Related Least Common Multiples of 7970

Related Least Common Multiples of 7976

Frequently Asked Questions on LCM of 7970 and 7976

1. What is the LCM of 7970 and 7976?

Answer: LCM of 7970 and 7976 is 31784360.

2. What are the Factors of 7970?

Answer: Factors of 7970 are 1, 2, 5, 10, 797, 1594, 3985, 7970. There are 8 integers that are factors of 7970. The greatest factor of 7970 is 7970.

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 7970 and 7976?

Answer:

Least Common Multiple of 7970 and 7976 = 31784360

Step 1: Find the prime factorization of 7970

7970 = 2 x 5 x 797

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 = 31784360 = 2 x 2 x 2 x 5 x 797 x 997

Step 4: Therefore, the least common multiple of 7970 and 7976 is 31784360.