Least Common Multiple of 7972 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 7972 and 7976 the smallest integer that is 15896168 that is divisible by both numbers.

Least Common Multiple (LCM) of 7972 and 7976 is 15896168.

LCM(7972,7976) = 15896168

LCM of 7972 and 7976

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

LCM of:
and

Least Common Multiple of 7972 and 7976

LCM of 7972 and 7976 is 15896168

Least common multiple can be found by multiplying the highest exponent prime factors of 7972 and 7976. First we will calculate the prime factors of 7972 and 7976.

Prime Factorization of 7972


2 7972
2 3986
1993 1993
1

Prime factors of 7972 are 2,1993. Prime factorization of 7972 in exponential form is:

7972 = 22×19931

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 7972 and 7976.

LCM(7972,7976) = 23×9971×19931
LCM(7972,7976) = 15896168

Factors of 7972

List of positive integer factors of 7972 that divides 7972 without a remainder.

1, 2, 4, 1993, 3986, 7972

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 7972 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 7972 and 7976, than apply into the LCM equation.

GCF(7972,7976) = 4
LCM(7972,7976) = ( 7972 × 7976) / 4
LCM(7972,7976) = 63584672 / 4
LCM(7972,7976) = 15896168

Properties of LCM 7972 and 7976

(i) The LCM of 7976 and 7972 is associative

LCM of 7972 and 7976 = LCM of 7976 and 7972

Related Least Common Multiples of 7972

Related Least Common Multiples of 7976

Frequently Asked Questions on LCM of 7972 and 7976

1. What is the LCM of 7972 and 7976?

Answer: LCM of 7972 and 7976 is 15896168.

2. What are the Factors of 7972?

Answer: Factors of 7972 are 1, 2, 4, 1993, 3986, 7972. There are 6 integers that are factors of 7972. The greatest factor of 7972 is 7972.

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 7972 and 7976?

Answer:

Least Common Multiple of 7972 and 7976 = 15896168

Step 1: Find the prime factorization of 7972

7972 = 2 x 2 x 1993

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 = 15896168 = 2 x 2 x 2 x 997 x 1993

Step 4: Therefore, the least common multiple of 7972 and 7976 is 15896168.