Least Common Multiple of 7140 and 7148

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 7148 the smallest integer that is 12759180 that is divisible by both numbers.

Least Common Multiple (LCM) of 7140 and 7148 is 12759180.

LCM(7140,7148) = 12759180

LCM of 7140 and 7148

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

LCM of:
and

Least Common Multiple of 7140 and 7148

LCM of 7140 and 7148 is 12759180

Least common multiple can be found by multiplying the highest exponent prime factors of 7140 and 7148. First we will calculate the prime factors of 7140 and 7148.

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 7148


2 7148
2 3574
1787 1787
1

Prime factors of 7148 are 2,1787. Prime factorization of 7148 in exponential form is:

7148 = 22×17871

Now multiplying the highest exponent prime factors to calculate the LCM of 7140 and 7148.

LCM(7140,7148) = 22×31×51×71×171×17871
LCM(7140,7148) = 12759180

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 7148

List of positive integer factors of 7148 that divides 7148 without a remainder.

1, 2, 4, 1787, 3574, 7148

Least Common Multiple of 7140 and 7148 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 7148, than apply into the LCM equation.

GCF(7140,7148) = 4
LCM(7140,7148) = ( 7140 × 7148) / 4
LCM(7140,7148) = 51036720 / 4
LCM(7140,7148) = 12759180

Properties of LCM 7140 and 7148

(i) The LCM of 7148 and 7140 is associative

LCM of 7140 and 7148 = LCM of 7148 and 7140

Related Least Common Multiples of 7140

Related Least Common Multiples of 7148

Frequently Asked Questions on LCM of 7140 and 7148

1. What is the LCM of 7140 and 7148?

Answer: LCM of 7140 and 7148 is 12759180.

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 7148?

Answer: Factors of 7148 are 1, 2, 4, 1787, 3574, 7148. There are 6 integers that are factors of 7148. The greatest factor of 7148 is 7148.

4. How to Find the LCM of 7140 and 7148?

Answer:

Least Common Multiple of 7140 and 7148 = 12759180

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 7148

7148 = 2 x 2 x 1787

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

LCM = 12759180 = 2 x 2 x 3 x 5 x 7 x 17 x 1787

Step 4: Therefore, the least common multiple of 7140 and 7148 is 12759180.