Least Common Multiple of 7142 and 7150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7142 and 7150 the smallest integer that is 25532650 that is divisible by both numbers.

Least Common Multiple (LCM) of 7142 and 7150 is 25532650.

LCM(7142,7150) = 25532650

LCM of 7142 and 7150

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

LCM of:
and

Least Common Multiple of 7142 and 7150

LCM of 7142 and 7150 is 25532650

Least common multiple can be found by multiplying the highest exponent prime factors of 7142 and 7150. First we will calculate the prime factors of 7142 and 7150.

Prime Factorization of 7142


2 7142
3571 3571
1

Prime factors of 7142 are 2,3571. Prime factorization of 7142 in exponential form is:

7142 = 21×35711

Prime Factorization of 7150


2 7150
5 3575
5 715
11 143
13 13
1

Prime factors of 7150 are 2, 5, 11,13. Prime factorization of 7150 in exponential form is:

7150 = 21×52×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 7142 and 7150.

LCM(7142,7150) = 21×52×111×131×35711
LCM(7142,7150) = 25532650

Factors of 7142

List of positive integer factors of 7142 that divides 7142 without a remainder.

1, 2, 3571, 7142

Factors of 7150

List of positive integer factors of 7150 that divides 7150 without a remainder.

1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150

Least Common Multiple of 7142 and 7150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7142 and 7150, than apply into the LCM equation.

GCF(7142,7150) = 2
LCM(7142,7150) = ( 7142 × 7150) / 2
LCM(7142,7150) = 51065300 / 2
LCM(7142,7150) = 25532650

Properties of LCM 7142 and 7150

(i) The LCM of 7150 and 7142 is associative

LCM of 7142 and 7150 = LCM of 7150 and 7142

Related Least Common Multiples of 7142

Related Least Common Multiples of 7150

Frequently Asked Questions on LCM of 7142 and 7150

1. What is the LCM of 7142 and 7150?

Answer: LCM of 7142 and 7150 is 25532650.

2. What are the Factors of 7142?

Answer: Factors of 7142 are 1, 2, 3571, 7142. There are 4 integers that are factors of 7142. The greatest factor of 7142 is 7142.

3. What are the Factors of 7150?

Answer: Factors of 7150 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150. There are 24 integers that are factors of 7150. The greatest factor of 7150 is 7150.

4. How to Find the LCM of 7142 and 7150?

Answer:

Least Common Multiple of 7142 and 7150 = 25532650

Step 1: Find the prime factorization of 7142

7142 = 2 x 3571

Step 2: Find the prime factorization of 7150

7150 = 2 x 5 x 5 x 11 x 13

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

LCM = 25532650 = 2 x 5 x 5 x 11 x 13 x 3571

Step 4: Therefore, the least common multiple of 7142 and 7150 is 25532650.