Least Common Multiple of 9152 and 9156

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 9156 the smallest integer that is 20948928 that is divisible by both numbers.

Least Common Multiple (LCM) of 9152 and 9156 is 20948928.

LCM(9152,9156) = 20948928

LCM of 9152 and 9156

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

LCM of:
and

Least Common Multiple of 9152 and 9156

LCM of 9152 and 9156 is 20948928

Least common multiple can be found by multiplying the highest exponent prime factors of 9152 and 9156. First we will calculate the prime factors of 9152 and 9156.

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 9156


2 9156
2 4578
3 2289
7 763
109 109
1

Prime factors of 9156 are 2, 3, 7,109. Prime factorization of 9156 in exponential form is:

9156 = 22×31×71×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9152 and 9156.

LCM(9152,9156) = 26×31×71×111×131×1091
LCM(9152,9156) = 20948928

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 9156

List of positive integer factors of 9156 that divides 9156 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156

Least Common Multiple of 9152 and 9156 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 9156, than apply into the LCM equation.

GCF(9152,9156) = 4
LCM(9152,9156) = ( 9152 × 9156) / 4
LCM(9152,9156) = 83795712 / 4
LCM(9152,9156) = 20948928

Properties of LCM 9152 and 9156

(i) The LCM of 9156 and 9152 is associative

LCM of 9152 and 9156 = LCM of 9156 and 9152

Related Least Common Multiples of 9152

Related Least Common Multiples of 9156

Frequently Asked Questions on LCM of 9152 and 9156

1. What is the LCM of 9152 and 9156?

Answer: LCM of 9152 and 9156 is 20948928.

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 9156?

Answer: Factors of 9156 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156. There are 24 integers that are factors of 9156. The greatest factor of 9156 is 9156.

4. How to Find the LCM of 9152 and 9156?

Answer:

Least Common Multiple of 9152 and 9156 = 20948928

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 9156

9156 = 2 x 2 x 3 x 7 x 109

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

LCM = 20948928 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 13 x 109

Step 4: Therefore, the least common multiple of 9152 and 9156 is 20948928.