Least Common Multiple of 7136 and 7142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7136 and 7142 the smallest integer that is 25482656 that is divisible by both numbers.

Least Common Multiple (LCM) of 7136 and 7142 is 25482656.

LCM(7136,7142) = 25482656

LCM of 7136 and 7142

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

LCM of:
and

Least Common Multiple of 7136 and 7142

LCM of 7136 and 7142 is 25482656

Least common multiple can be found by multiplying the highest exponent prime factors of 7136 and 7142. First we will calculate the prime factors of 7136 and 7142.

Prime Factorization of 7136


2 7136
2 3568
2 1784
2 892
2 446
223 223
1

Prime factors of 7136 are 2,223. Prime factorization of 7136 in exponential form is:

7136 = 25×2231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7136 and 7142.

LCM(7136,7142) = 25×2231×35711
LCM(7136,7142) = 25482656

Factors of 7136

List of positive integer factors of 7136 that divides 7136 without a remainder.

1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136

Factors of 7142

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

1, 2, 3571, 7142

Least Common Multiple of 7136 and 7142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7136 and 7142, than apply into the LCM equation.

GCF(7136,7142) = 2
LCM(7136,7142) = ( 7136 × 7142) / 2
LCM(7136,7142) = 50965312 / 2
LCM(7136,7142) = 25482656

Properties of LCM 7136 and 7142

(i) The LCM of 7142 and 7136 is associative

LCM of 7136 and 7142 = LCM of 7142 and 7136

Related Least Common Multiples of 7136

Related Least Common Multiples of 7142

Frequently Asked Questions on LCM of 7136 and 7142

1. What is the LCM of 7136 and 7142?

Answer: LCM of 7136 and 7142 is 25482656.

2. What are the Factors of 7136?

Answer: Factors of 7136 are 1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136. There are 12 integers that are factors of 7136. The greatest factor of 7136 is 7136.

3. 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.

4. How to Find the LCM of 7136 and 7142?

Answer:

Least Common Multiple of 7136 and 7142 = 25482656

Step 1: Find the prime factorization of 7136

7136 = 2 x 2 x 2 x 2 x 2 x 223

Step 2: Find the prime factorization of 7142

7142 = 2 x 3571

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

LCM = 25482656 = 2 x 2 x 2 x 2 x 2 x 223 x 3571

Step 4: Therefore, the least common multiple of 7136 and 7142 is 25482656.