Least Common Multiple of 9155 and 9162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9155 and 9162 the smallest integer that is 83878110 that is divisible by both numbers.

Least Common Multiple (LCM) of 9155 and 9162 is 83878110.

LCM(9155,9162) = 83878110

LCM of 9155 and 9162

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

LCM of:
and

Least Common Multiple of 9155 and 9162

LCM of 9155 and 9162 is 83878110

Least common multiple can be found by multiplying the highest exponent prime factors of 9155 and 9162. First we will calculate the prime factors of 9155 and 9162.

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

Prime Factorization of 9162


2 9162
3 4581
3 1527
509 509
1

Prime factors of 9162 are 2, 3,509. Prime factorization of 9162 in exponential form is:

9162 = 21×32×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 9155 and 9162.

LCM(9155,9162) = 21×32×51×5091×18311
LCM(9155,9162) = 83878110

Factors of 9155

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

1, 5, 1831, 9155

Factors of 9162

List of positive integer factors of 9162 that divides 9162 without a remainder.

1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162

Least Common Multiple of 9155 and 9162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9155 and 9162, than apply into the LCM equation.

GCF(9155,9162) = 1
LCM(9155,9162) = ( 9155 × 9162) / 1
LCM(9155,9162) = 83878110 / 1
LCM(9155,9162) = 83878110

Properties of LCM 9155 and 9162

(i) The LCM of 9162 and 9155 is associative

LCM of 9155 and 9162 = LCM of 9162 and 9155

Related Least Common Multiples of 9155

Related Least Common Multiples of 9162

Frequently Asked Questions on LCM of 9155 and 9162

1. What is the LCM of 9155 and 9162?

Answer: LCM of 9155 and 9162 is 83878110.

2. 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.

3. What are the Factors of 9162?

Answer: Factors of 9162 are 1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162. There are 12 integers that are factors of 9162. The greatest factor of 9162 is 9162.

4. How to Find the LCM of 9155 and 9162?

Answer:

Least Common Multiple of 9155 and 9162 = 83878110

Step 1: Find the prime factorization of 9155

9155 = 5 x 1831

Step 2: Find the prime factorization of 9162

9162 = 2 x 3 x 3 x 509

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

LCM = 83878110 = 2 x 3 x 3 x 5 x 509 x 1831

Step 4: Therefore, the least common multiple of 9155 and 9162 is 83878110.