Least Common Multiple of 7975 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 7975 and 7980 the smallest integer that is 12728100 that is divisible by both numbers.

Least Common Multiple (LCM) of 7975 and 7980 is 12728100.

LCM(7975,7980) = 12728100

LCM of 7975 and 7980

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

LCM of:
and

Least Common Multiple of 7975 and 7980

LCM of 7975 and 7980 is 12728100

Least common multiple can be found by multiplying the highest exponent prime factors of 7975 and 7980. First we will calculate the prime factors of 7975 and 7980.

Prime Factorization of 7975


5 7975
5 1595
11 319
29 29
1

Prime factors of 7975 are 5, 11,29. Prime factorization of 7975 in exponential form is:

7975 = 52×111×291

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 7975 and 7980.

LCM(7975,7980) = 22×31×52×71×111×191×291
LCM(7975,7980) = 12728100

Factors of 7975

List of positive integer factors of 7975 that divides 7975 without a remainder.

1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595, 7975

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 7975 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 7975 and 7980, than apply into the LCM equation.

GCF(7975,7980) = 5
LCM(7975,7980) = ( 7975 × 7980) / 5
LCM(7975,7980) = 63640500 / 5
LCM(7975,7980) = 12728100

Properties of LCM 7975 and 7980

(i) The LCM of 7980 and 7975 is associative

LCM of 7975 and 7980 = LCM of 7980 and 7975

Related Least Common Multiples of 7975

Related Least Common Multiples of 7980

Frequently Asked Questions on LCM of 7975 and 7980

1. What is the LCM of 7975 and 7980?

Answer: LCM of 7975 and 7980 is 12728100.

2. What are the Factors of 7975?

Answer: Factors of 7975 are 1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595, 7975. There are 12 integers that are factors of 7975. The greatest factor of 7975 is 7975.

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 7975 and 7980?

Answer:

Least Common Multiple of 7975 and 7980 = 12728100

Step 1: Find the prime factorization of 7975

7975 = 5 x 5 x 11 x 29

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 = 12728100 = 2 x 2 x 3 x 5 x 5 x 7 x 11 x 19 x 29

Step 4: Therefore, the least common multiple of 7975 and 7980 is 12728100.