Least Common Multiple of 7151 and 7155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7151 and 7155 the smallest integer that is 51165405 that is divisible by both numbers.

Least Common Multiple (LCM) of 7151 and 7155 is 51165405.

LCM(7151,7155) = 51165405

LCM of 7151 and 7155

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

LCM of:
and

Least Common Multiple of 7151 and 7155

LCM of 7151 and 7155 is 51165405

Least common multiple can be found by multiplying the highest exponent prime factors of 7151 and 7155. First we will calculate the prime factors of 7151 and 7155.

Prime Factorization of 7151


7151 7151
1

Prime factors of 7151 are 7151. Prime factorization of 7151 in exponential form is:

7151 = 71511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7151 and 7155.

LCM(7151,7155) = 33×51×531×71511
LCM(7151,7155) = 51165405

Factors of 7151

List of positive integer factors of 7151 that divides 7151 without a remainder.

1, 7151

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

Least Common Multiple of 7151 and 7155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7151 and 7155, than apply into the LCM equation.

GCF(7151,7155) = 1
LCM(7151,7155) = ( 7151 × 7155) / 1
LCM(7151,7155) = 51165405 / 1
LCM(7151,7155) = 51165405

Properties of LCM 7151 and 7155

(i) The LCM of 7155 and 7151 is associative

LCM of 7151 and 7155 = LCM of 7155 and 7151

Related Least Common Multiples of 7151

Related Least Common Multiples of 7155

Frequently Asked Questions on LCM of 7151 and 7155

1. What is the LCM of 7151 and 7155?

Answer: LCM of 7151 and 7155 is 51165405.

2. What are the Factors of 7151?

Answer: Factors of 7151 are 1, 7151. There are 2 integers that are factors of 7151. The greatest factor of 7151 is 7151.

3. 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.

4. How to Find the LCM of 7151 and 7155?

Answer:

Least Common Multiple of 7151 and 7155 = 51165405

Step 1: Find the prime factorization of 7151

7151 = 7151

Step 2: Find the prime factorization of 7155

7155 = 3 x 3 x 3 x 5 x 53

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

LCM = 51165405 = 3 x 3 x 3 x 5 x 53 x 7151

Step 4: Therefore, the least common multiple of 7151 and 7155 is 51165405.