Least Common Multiple of 7155 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 7155 and 7161 the smallest integer that is 17078985 that is divisible by both numbers.

Least Common Multiple (LCM) of 7155 and 7161 is 17078985.

LCM(7155,7161) = 17078985

LCM of 7155 and 7161

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

LCM of:
and

Least Common Multiple of 7155 and 7161

LCM of 7155 and 7161 is 17078985

Least common multiple can be found by multiplying the highest exponent prime factors of 7155 and 7161. First we will calculate the prime factors of 7155 and 7161.

Prime Factorization of 7155


3 7155
3 2385
3 795
5 265
53 53
1

Prime factors of 7155 are 3, 5,53. Prime factorization of 7155 in exponential form is:

7155 = 33×51×531

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 7155 and 7161.

LCM(7155,7161) = 33×51×71×111×311×531
LCM(7155,7161) = 17078985

Factors of 7155

List of positive integer factors of 7155 that divides 7155 without a remainder.

1, 3, 5, 9, 15, 27, 45, 53, 135, 159, 265, 477, 795, 1431, 2385, 7155

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 7155 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 7155 and 7161, than apply into the LCM equation.

GCF(7155,7161) = 3
LCM(7155,7161) = ( 7155 × 7161) / 3
LCM(7155,7161) = 51236955 / 3
LCM(7155,7161) = 17078985

Properties of LCM 7155 and 7161

(i) The LCM of 7161 and 7155 is associative

LCM of 7155 and 7161 = LCM of 7161 and 7155

Related Least Common Multiples of 7155

Related Least Common Multiples of 7161

Frequently Asked Questions on LCM of 7155 and 7161

1. What is the LCM of 7155 and 7161?

Answer: LCM of 7155 and 7161 is 17078985.

2. What are the Factors of 7155?

Answer: Factors of 7155 are 1, 3, 5, 9, 15, 27, 45, 53, 135, 159, 265, 477, 795, 1431, 2385, 7155. There are 16 integers that are factors of 7155. The greatest factor of 7155 is 7155.

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 7155 and 7161?

Answer:

Least Common Multiple of 7155 and 7161 = 17078985

Step 1: Find the prime factorization of 7155

7155 = 3 x 3 x 3 x 5 x 53

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 = 17078985 = 3 x 3 x 3 x 5 x 7 x 11 x 31 x 53

Step 4: Therefore, the least common multiple of 7155 and 7161 is 17078985.