Least Common Multiple of 9145 and 9152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9145 and 9152 the smallest integer that is 83695040 that is divisible by both numbers.

Least Common Multiple (LCM) of 9145 and 9152 is 83695040.

LCM(9145,9152) = 83695040

LCM of 9145 and 9152

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

LCM of:
and

Least Common Multiple of 9145 and 9152

LCM of 9145 and 9152 is 83695040

Least common multiple can be found by multiplying the highest exponent prime factors of 9145 and 9152. First we will calculate the prime factors of 9145 and 9152.

Prime Factorization of 9145


5 9145
31 1829
59 59
1

Prime factors of 9145 are 5, 31,59. Prime factorization of 9145 in exponential form is:

9145 = 51×311×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9145 and 9152.

LCM(9145,9152) = 26×51×111×131×311×591
LCM(9145,9152) = 83695040

Factors of 9145

List of positive integer factors of 9145 that divides 9145 without a remainder.

1, 5, 31, 59, 155, 295, 1829, 9145

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

Least Common Multiple of 9145 and 9152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9145 and 9152, than apply into the LCM equation.

GCF(9145,9152) = 1
LCM(9145,9152) = ( 9145 × 9152) / 1
LCM(9145,9152) = 83695040 / 1
LCM(9145,9152) = 83695040

Properties of LCM 9145 and 9152

(i) The LCM of 9152 and 9145 is associative

LCM of 9145 and 9152 = LCM of 9152 and 9145

Related Least Common Multiples of 9145

Related Least Common Multiples of 9152

Frequently Asked Questions on LCM of 9145 and 9152

1. What is the LCM of 9145 and 9152?

Answer: LCM of 9145 and 9152 is 83695040.

2. What are the Factors of 9145?

Answer: Factors of 9145 are 1, 5, 31, 59, 155, 295, 1829, 9145. There are 8 integers that are factors of 9145. The greatest factor of 9145 is 9145.

3. 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.

4. How to Find the LCM of 9145 and 9152?

Answer:

Least Common Multiple of 9145 and 9152 = 83695040

Step 1: Find the prime factorization of 9145

9145 = 5 x 31 x 59

Step 2: Find the prime factorization of 9152

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

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

LCM = 83695040 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 13 x 31 x 59

Step 4: Therefore, the least common multiple of 9145 and 9152 is 83695040.