Least Common Multiple of 7140 and 7145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7140 and 7145 the smallest integer that is 10203060 that is divisible by both numbers.

Least Common Multiple (LCM) of 7140 and 7145 is 10203060.

LCM(7140,7145) = 10203060

LCM of 7140 and 7145

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

LCM of:
and

Least Common Multiple of 7140 and 7145

LCM of 7140 and 7145 is 10203060

Least common multiple can be found by multiplying the highest exponent prime factors of 7140 and 7145. First we will calculate the prime factors of 7140 and 7145.

Prime Factorization of 7140


2 7140
2 3570
3 1785
5 595
7 119
17 17
1

Prime factors of 7140 are 2, 3, 5, 7,17. Prime factorization of 7140 in exponential form is:

7140 = 22×31×51×71×171

Prime Factorization of 7145


5 7145
1429 1429
1

Prime factors of 7145 are 5,1429. Prime factorization of 7145 in exponential form is:

7145 = 51×14291

Now multiplying the highest exponent prime factors to calculate the LCM of 7140 and 7145.

LCM(7140,7145) = 22×31×51×71×171×14291
LCM(7140,7145) = 10203060

Factors of 7140

List of positive integer factors of 7140 that divides 7140 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 17, 20, 21, 28, 30, 34, 35, 42, 51, 60, 68, 70, 84, 85, 102, 105, 119, 140, 170, 204, 210, 238, 255, 340, 357, 420, 476, 510, 595, 714, 1020, 1190, 1428, 1785, 2380, 3570, 7140

Factors of 7145

List of positive integer factors of 7145 that divides 7145 without a remainder.

1, 5, 1429, 7145

Least Common Multiple of 7140 and 7145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7140 and 7145, than apply into the LCM equation.

GCF(7140,7145) = 5
LCM(7140,7145) = ( 7140 × 7145) / 5
LCM(7140,7145) = 51015300 / 5
LCM(7140,7145) = 10203060

Properties of LCM 7140 and 7145

(i) The LCM of 7145 and 7140 is associative

LCM of 7140 and 7145 = LCM of 7145 and 7140

Related Least Common Multiples of 7140

Related Least Common Multiples of 7145

Frequently Asked Questions on LCM of 7140 and 7145

1. What is the LCM of 7140 and 7145?

Answer: LCM of 7140 and 7145 is 10203060.

2. What are the Factors of 7140?

Answer: Factors of 7140 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 17, 20, 21, 28, 30, 34, 35, 42, 51, 60, 68, 70, 84, 85, 102, 105, 119, 140, 170, 204, 210, 238, 255, 340, 357, 420, 476, 510, 595, 714, 1020, 1190, 1428, 1785, 2380, 3570, 7140. There are 48 integers that are factors of 7140. The greatest factor of 7140 is 7140.

3. What are the Factors of 7145?

Answer: Factors of 7145 are 1, 5, 1429, 7145. There are 4 integers that are factors of 7145. The greatest factor of 7145 is 7145.

4. How to Find the LCM of 7140 and 7145?

Answer:

Least Common Multiple of 7140 and 7145 = 10203060

Step 1: Find the prime factorization of 7140

7140 = 2 x 2 x 3 x 5 x 7 x 17

Step 2: Find the prime factorization of 7145

7145 = 5 x 1429

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

LCM = 10203060 = 2 x 2 x 3 x 5 x 7 x 17 x 1429

Step 4: Therefore, the least common multiple of 7140 and 7145 is 10203060.