Least Common Multiple of 7132 and 7140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7132 and 7140 the smallest integer that is 12730620 that is divisible by both numbers.

Least Common Multiple (LCM) of 7132 and 7140 is 12730620.

LCM(7132,7140) = 12730620

LCM of 7132 and 7140

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

LCM of:
and

Least Common Multiple of 7132 and 7140

LCM of 7132 and 7140 is 12730620

Least common multiple can be found by multiplying the highest exponent prime factors of 7132 and 7140. First we will calculate the prime factors of 7132 and 7140.

Prime Factorization of 7132


2 7132
2 3566
1783 1783
1

Prime factors of 7132 are 2,1783. Prime factorization of 7132 in exponential form is:

7132 = 22×17831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7132 and 7140.

LCM(7132,7140) = 22×31×51×71×171×17831
LCM(7132,7140) = 12730620

Factors of 7132

List of positive integer factors of 7132 that divides 7132 without a remainder.

1, 2, 4, 1783, 3566, 7132

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

Least Common Multiple of 7132 and 7140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7132 and 7140, than apply into the LCM equation.

GCF(7132,7140) = 4
LCM(7132,7140) = ( 7132 × 7140) / 4
LCM(7132,7140) = 50922480 / 4
LCM(7132,7140) = 12730620

Properties of LCM 7132 and 7140

(i) The LCM of 7140 and 7132 is associative

LCM of 7132 and 7140 = LCM of 7140 and 7132

Related Least Common Multiples of 7132

Related Least Common Multiples of 7140

Frequently Asked Questions on LCM of 7132 and 7140

1. What is the LCM of 7132 and 7140?

Answer: LCM of 7132 and 7140 is 12730620.

2. What are the Factors of 7132?

Answer: Factors of 7132 are 1, 2, 4, 1783, 3566, 7132. There are 6 integers that are factors of 7132. The greatest factor of 7132 is 7132.

3. 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.

4. How to Find the LCM of 7132 and 7140?

Answer:

Least Common Multiple of 7132 and 7140 = 12730620

Step 1: Find the prime factorization of 7132

7132 = 2 x 2 x 1783

Step 2: Find the prime factorization of 7140

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

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

LCM = 12730620 = 2 x 2 x 3 x 5 x 7 x 17 x 1783

Step 4: Therefore, the least common multiple of 7132 and 7140 is 12730620.