Least Common Multiple of 7134 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 7134 and 7140 the smallest integer that is 8489460 that is divisible by both numbers.

Least Common Multiple (LCM) of 7134 and 7140 is 8489460.

LCM(7134,7140) = 8489460

LCM of 7134 and 7140

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

LCM of:
and

Least Common Multiple of 7134 and 7140

LCM of 7134 and 7140 is 8489460

Least common multiple can be found by multiplying the highest exponent prime factors of 7134 and 7140. First we will calculate the prime factors of 7134 and 7140.

Prime Factorization of 7134


2 7134
3 3567
29 1189
41 41
1

Prime factors of 7134 are 2, 3, 29,41. Prime factorization of 7134 in exponential form is:

7134 = 21×31×291×411

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 7134 and 7140.

LCM(7134,7140) = 22×31×51×71×171×291×411
LCM(7134,7140) = 8489460

Factors of 7134

List of positive integer factors of 7134 that divides 7134 without a remainder.

1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134

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 7134 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 7134 and 7140, than apply into the LCM equation.

GCF(7134,7140) = 6
LCM(7134,7140) = ( 7134 × 7140) / 6
LCM(7134,7140) = 50936760 / 6
LCM(7134,7140) = 8489460

Properties of LCM 7134 and 7140

(i) The LCM of 7140 and 7134 is associative

LCM of 7134 and 7140 = LCM of 7140 and 7134

Related Least Common Multiples of 7134

Related Least Common Multiples of 7140

Frequently Asked Questions on LCM of 7134 and 7140

1. What is the LCM of 7134 and 7140?

Answer: LCM of 7134 and 7140 is 8489460.

2. What are the Factors of 7134?

Answer: Factors of 7134 are 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134. There are 16 integers that are factors of 7134. The greatest factor of 7134 is 7134.

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 7134 and 7140?

Answer:

Least Common Multiple of 7134 and 7140 = 8489460

Step 1: Find the prime factorization of 7134

7134 = 2 x 3 x 29 x 41

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 = 8489460 = 2 x 2 x 3 x 5 x 7 x 17 x 29 x 41

Step 4: Therefore, the least common multiple of 7134 and 7140 is 8489460.