Least Common Multiple of 9147 and 9155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9147 and 9155 the smallest integer that is 83740785 that is divisible by both numbers.

Least Common Multiple (LCM) of 9147 and 9155 is 83740785.

LCM(9147,9155) = 83740785

LCM of 9147 and 9155

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

LCM of:
and

Least Common Multiple of 9147 and 9155

LCM of 9147 and 9155 is 83740785

Least common multiple can be found by multiplying the highest exponent prime factors of 9147 and 9155. First we will calculate the prime factors of 9147 and 9155.

Prime Factorization of 9147


3 9147
3049 3049
1

Prime factors of 9147 are 3,3049. Prime factorization of 9147 in exponential form is:

9147 = 31×30491

Prime Factorization of 9155


5 9155
1831 1831
1

Prime factors of 9155 are 5,1831. Prime factorization of 9155 in exponential form is:

9155 = 51×18311

Now multiplying the highest exponent prime factors to calculate the LCM of 9147 and 9155.

LCM(9147,9155) = 31×51×18311×30491
LCM(9147,9155) = 83740785

Factors of 9147

List of positive integer factors of 9147 that divides 9147 without a remainder.

1, 3, 3049, 9147

Factors of 9155

List of positive integer factors of 9155 that divides 9155 without a remainder.

1, 5, 1831, 9155

Least Common Multiple of 9147 and 9155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9147 and 9155, than apply into the LCM equation.

GCF(9147,9155) = 1
LCM(9147,9155) = ( 9147 × 9155) / 1
LCM(9147,9155) = 83740785 / 1
LCM(9147,9155) = 83740785

Properties of LCM 9147 and 9155

(i) The LCM of 9155 and 9147 is associative

LCM of 9147 and 9155 = LCM of 9155 and 9147

Related Least Common Multiples of 9147

Related Least Common Multiples of 9155

Frequently Asked Questions on LCM of 9147 and 9155

1. What is the LCM of 9147 and 9155?

Answer: LCM of 9147 and 9155 is 83740785.

2. What are the Factors of 9147?

Answer: Factors of 9147 are 1, 3, 3049, 9147. There are 4 integers that are factors of 9147. The greatest factor of 9147 is 9147.

3. What are the Factors of 9155?

Answer: Factors of 9155 are 1, 5, 1831, 9155. There are 4 integers that are factors of 9155. The greatest factor of 9155 is 9155.

4. How to Find the LCM of 9147 and 9155?

Answer:

Least Common Multiple of 9147 and 9155 = 83740785

Step 1: Find the prime factorization of 9147

9147 = 3 x 3049

Step 2: Find the prime factorization of 9155

9155 = 5 x 1831

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

LCM = 83740785 = 3 x 5 x 1831 x 3049

Step 4: Therefore, the least common multiple of 9147 and 9155 is 83740785.