Least Common Multiple of 7156 and 7161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7156 and 7161 the smallest integer that is 51244116 that is divisible by both numbers.

Least Common Multiple (LCM) of 7156 and 7161 is 51244116.

LCM(7156,7161) = 51244116

LCM of 7156 and 7161

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

LCM of:
and

Least Common Multiple of 7156 and 7161

LCM of 7156 and 7161 is 51244116

Least common multiple can be found by multiplying the highest exponent prime factors of 7156 and 7161. First we will calculate the prime factors of 7156 and 7161.

Prime Factorization of 7156


2 7156
2 3578
1789 1789
1

Prime factors of 7156 are 2,1789. Prime factorization of 7156 in exponential form is:

7156 = 22×17891

Prime Factorization of 7161


3 7161
7 2387
11 341
31 31
1

Prime factors of 7161 are 3, 7, 11,31. Prime factorization of 7161 in exponential form is:

7161 = 31×71×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 7156 and 7161.

LCM(7156,7161) = 22×31×71×111×311×17891
LCM(7156,7161) = 51244116

Factors of 7156

List of positive integer factors of 7156 that divides 7156 without a remainder.

1, 2, 4, 1789, 3578, 7156

Factors of 7161

List of positive integer factors of 7161 that divides 7161 without a remainder.

1, 3, 7, 11, 21, 31, 33, 77, 93, 217, 231, 341, 651, 1023, 2387, 7161

Least Common Multiple of 7156 and 7161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7156 and 7161, than apply into the LCM equation.

GCF(7156,7161) = 1
LCM(7156,7161) = ( 7156 × 7161) / 1
LCM(7156,7161) = 51244116 / 1
LCM(7156,7161) = 51244116

Properties of LCM 7156 and 7161

(i) The LCM of 7161 and 7156 is associative

LCM of 7156 and 7161 = LCM of 7161 and 7156

Related Least Common Multiples of 7156

Related Least Common Multiples of 7161

Frequently Asked Questions on LCM of 7156 and 7161

1. What is the LCM of 7156 and 7161?

Answer: LCM of 7156 and 7161 is 51244116.

2. What are the Factors of 7156?

Answer: Factors of 7156 are 1, 2, 4, 1789, 3578, 7156. There are 6 integers that are factors of 7156. The greatest factor of 7156 is 7156.

3. What are the Factors of 7161?

Answer: Factors of 7161 are 1, 3, 7, 11, 21, 31, 33, 77, 93, 217, 231, 341, 651, 1023, 2387, 7161. There are 16 integers that are factors of 7161. The greatest factor of 7161 is 7161.

4. How to Find the LCM of 7156 and 7161?

Answer:

Least Common Multiple of 7156 and 7161 = 51244116

Step 1: Find the prime factorization of 7156

7156 = 2 x 2 x 1789

Step 2: Find the prime factorization of 7161

7161 = 3 x 7 x 11 x 31

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

LCM = 51244116 = 2 x 2 x 3 x 7 x 11 x 31 x 1789

Step 4: Therefore, the least common multiple of 7156 and 7161 is 51244116.