Least Common Multiple of 7972 and 7980

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 7980 the smallest integer that is 15904140 that is divisible by both numbers.

Least Common Multiple (LCM) of 7972 and 7980 is 15904140.

LCM(7972,7980) = 15904140

LCM of 7972 and 7980

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

LCM of:
and

Least Common Multiple of 7972 and 7980

LCM of 7972 and 7980 is 15904140

Least common multiple can be found by multiplying the highest exponent prime factors of 7972 and 7980. First we will calculate the prime factors of 7972 and 7980.

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 7980


2 7980
2 3990
3 1995
5 665
7 133
19 19
1

Prime factors of 7980 are 2, 3, 5, 7,19. Prime factorization of 7980 in exponential form is:

7980 = 22×31×51×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 7972 and 7980.

LCM(7972,7980) = 22×31×51×71×191×19931
LCM(7972,7980) = 15904140

Factors of 7972

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

1, 2, 4, 1993, 3986, 7972

Factors of 7980

List of positive integer factors of 7980 that divides 7980 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980

Least Common Multiple of 7972 and 7980 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 7980, than apply into the LCM equation.

GCF(7972,7980) = 4
LCM(7972,7980) = ( 7972 × 7980) / 4
LCM(7972,7980) = 63616560 / 4
LCM(7972,7980) = 15904140

Properties of LCM 7972 and 7980

(i) The LCM of 7980 and 7972 is associative

LCM of 7972 and 7980 = LCM of 7980 and 7972

Related Least Common Multiples of 7972

Related Least Common Multiples of 7980

Frequently Asked Questions on LCM of 7972 and 7980

1. What is the LCM of 7972 and 7980?

Answer: LCM of 7972 and 7980 is 15904140.

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 7980?

Answer: Factors of 7980 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980. There are 48 integers that are factors of 7980. The greatest factor of 7980 is 7980.

4. How to Find the LCM of 7972 and 7980?

Answer:

Least Common Multiple of 7972 and 7980 = 15904140

Step 1: Find the prime factorization of 7972

7972 = 2 x 2 x 1993

Step 2: Find the prime factorization of 7980

7980 = 2 x 2 x 3 x 5 x 7 x 19

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

LCM = 15904140 = 2 x 2 x 3 x 5 x 7 x 19 x 1993

Step 4: Therefore, the least common multiple of 7972 and 7980 is 15904140.