Least Common Multiple of 9152 and 9159

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 9159 the smallest integer that is 83823168 that is divisible by both numbers.

Least Common Multiple (LCM) of 9152 and 9159 is 83823168.

LCM(9152,9159) = 83823168

LCM of 9152 and 9159

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

LCM of:
and

Least Common Multiple of 9152 and 9159

LCM of 9152 and 9159 is 83823168

Least common multiple can be found by multiplying the highest exponent prime factors of 9152 and 9159. First we will calculate the prime factors of 9152 and 9159.

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 9159


3 9159
43 3053
71 71
1

Prime factors of 9159 are 3, 43,71. Prime factorization of 9159 in exponential form is:

9159 = 31×431×711

Now multiplying the highest exponent prime factors to calculate the LCM of 9152 and 9159.

LCM(9152,9159) = 26×31×111×131×431×711
LCM(9152,9159) = 83823168

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 9159

List of positive integer factors of 9159 that divides 9159 without a remainder.

1, 3, 43, 71, 129, 213, 3053, 9159

Least Common Multiple of 9152 and 9159 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 9159, than apply into the LCM equation.

GCF(9152,9159) = 1
LCM(9152,9159) = ( 9152 × 9159) / 1
LCM(9152,9159) = 83823168 / 1
LCM(9152,9159) = 83823168

Properties of LCM 9152 and 9159

(i) The LCM of 9159 and 9152 is associative

LCM of 9152 and 9159 = LCM of 9159 and 9152

Related Least Common Multiples of 9152

Related Least Common Multiples of 9159

Frequently Asked Questions on LCM of 9152 and 9159

1. What is the LCM of 9152 and 9159?

Answer: LCM of 9152 and 9159 is 83823168.

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 9159?

Answer: Factors of 9159 are 1, 3, 43, 71, 129, 213, 3053, 9159. There are 8 integers that are factors of 9159. The greatest factor of 9159 is 9159.

4. How to Find the LCM of 9152 and 9159?

Answer:

Least Common Multiple of 9152 and 9159 = 83823168

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 9159

9159 = 3 x 43 x 71

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

LCM = 83823168 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 13 x 43 x 71

Step 4: Therefore, the least common multiple of 9152 and 9159 is 83823168.