Least Common Multiple of 7155 and 7159

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 7159 the smallest integer that is 51222645 that is divisible by both numbers.

Least Common Multiple (LCM) of 7155 and 7159 is 51222645.

LCM(7155,7159) = 51222645

LCM of 7155 and 7159

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

LCM of:
and

Least Common Multiple of 7155 and 7159

LCM of 7155 and 7159 is 51222645

Least common multiple can be found by multiplying the highest exponent prime factors of 7155 and 7159. First we will calculate the prime factors of 7155 and 7159.

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 7159


7159 7159
1

Prime factors of 7159 are 7159. Prime factorization of 7159 in exponential form is:

7159 = 71591

Now multiplying the highest exponent prime factors to calculate the LCM of 7155 and 7159.

LCM(7155,7159) = 33×51×531×71591
LCM(7155,7159) = 51222645

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 7159

List of positive integer factors of 7159 that divides 7159 without a remainder.

1, 7159

Least Common Multiple of 7155 and 7159 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 7159, than apply into the LCM equation.

GCF(7155,7159) = 1
LCM(7155,7159) = ( 7155 × 7159) / 1
LCM(7155,7159) = 51222645 / 1
LCM(7155,7159) = 51222645

Properties of LCM 7155 and 7159

(i) The LCM of 7159 and 7155 is associative

LCM of 7155 and 7159 = LCM of 7159 and 7155

Related Least Common Multiples of 7155

Related Least Common Multiples of 7159

Frequently Asked Questions on LCM of 7155 and 7159

1. What is the LCM of 7155 and 7159?

Answer: LCM of 7155 and 7159 is 51222645.

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 7159?

Answer: Factors of 7159 are 1, 7159. There are 2 integers that are factors of 7159. The greatest factor of 7159 is 7159.

4. How to Find the LCM of 7155 and 7159?

Answer:

Least Common Multiple of 7155 and 7159 = 51222645

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 7159

7159 = 7159

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

LCM = 51222645 = 3 x 3 x 3 x 5 x 53 x 7159

Step 4: Therefore, the least common multiple of 7155 and 7159 is 51222645.