Least Common Multiple of 9152 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 9152 and 9155 the smallest integer that is 83786560 that is divisible by both numbers.

Least Common Multiple (LCM) of 9152 and 9155 is 83786560.

LCM(9152,9155) = 83786560

LCM of 9152 and 9155

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

LCM of:
and

Least Common Multiple of 9152 and 9155

LCM of 9152 and 9155 is 83786560

Least common multiple can be found by multiplying the highest exponent prime factors of 9152 and 9155. First we will calculate the prime factors of 9152 and 9155.

Prime Factorization of 9152


2 9152
2 4576
2 2288
2 1144
2 572
2 286
11 143
13 13
1

Prime factors of 9152 are 2, 11,13. Prime factorization of 9152 in exponential form is:

9152 = 26×111×131

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 9152 and 9155.

LCM(9152,9155) = 26×51×111×131×18311
LCM(9152,9155) = 83786560

Factors of 9152

List of positive integer factors of 9152 that divides 9152 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576, 9152

Factors of 9155

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

1, 5, 1831, 9155

Least Common Multiple of 9152 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 9152 and 9155, than apply into the LCM equation.

GCF(9152,9155) = 1
LCM(9152,9155) = ( 9152 × 9155) / 1
LCM(9152,9155) = 83786560 / 1
LCM(9152,9155) = 83786560

Properties of LCM 9152 and 9155

(i) The LCM of 9155 and 9152 is associative

LCM of 9152 and 9155 = LCM of 9155 and 9152

Related Least Common Multiples of 9152

Related Least Common Multiples of 9155

Frequently Asked Questions on LCM of 9152 and 9155

1. What is the LCM of 9152 and 9155?

Answer: LCM of 9152 and 9155 is 83786560.

2. What are the Factors of 9152?

Answer: Factors of 9152 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576, 9152. There are 28 integers that are factors of 9152. The greatest factor of 9152 is 9152.

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 9152 and 9155?

Answer:

Least Common Multiple of 9152 and 9155 = 83786560

Step 1: Find the prime factorization of 9152

9152 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 13

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 = 83786560 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 13 x 1831

Step 4: Therefore, the least common multiple of 9152 and 9155 is 83786560.