Least Common Multiple of 9145 and 9153

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 9153 the smallest integer that is 83704185 that is divisible by both numbers.

Least Common Multiple (LCM) of 9145 and 9153 is 83704185.

LCM(9145,9153) = 83704185

LCM of 9145 and 9153

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

LCM of:
and

Least Common Multiple of 9145 and 9153

LCM of 9145 and 9153 is 83704185

Least common multiple can be found by multiplying the highest exponent prime factors of 9145 and 9153. First we will calculate the prime factors of 9145 and 9153.

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 9153


3 9153
3 3051
3 1017
3 339
113 113
1

Prime factors of 9153 are 3,113. Prime factorization of 9153 in exponential form is:

9153 = 34×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 9145 and 9153.

LCM(9145,9153) = 34×51×311×591×1131
LCM(9145,9153) = 83704185

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 9153

List of positive integer factors of 9153 that divides 9153 without a remainder.

1, 3, 9, 27, 81, 113, 339, 1017, 3051, 9153

Least Common Multiple of 9145 and 9153 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 9153, than apply into the LCM equation.

GCF(9145,9153) = 1
LCM(9145,9153) = ( 9145 × 9153) / 1
LCM(9145,9153) = 83704185 / 1
LCM(9145,9153) = 83704185

Properties of LCM 9145 and 9153

(i) The LCM of 9153 and 9145 is associative

LCM of 9145 and 9153 = LCM of 9153 and 9145

Related Least Common Multiples of 9145

Related Least Common Multiples of 9153

Frequently Asked Questions on LCM of 9145 and 9153

1. What is the LCM of 9145 and 9153?

Answer: LCM of 9145 and 9153 is 83704185.

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 9153?

Answer: Factors of 9153 are 1, 3, 9, 27, 81, 113, 339, 1017, 3051, 9153. There are 10 integers that are factors of 9153. The greatest factor of 9153 is 9153.

4. How to Find the LCM of 9145 and 9153?

Answer:

Least Common Multiple of 9145 and 9153 = 83704185

Step 1: Find the prime factorization of 9145

9145 = 5 x 31 x 59

Step 2: Find the prime factorization of 9153

9153 = 3 x 3 x 3 x 3 x 113

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

LCM = 83704185 = 3 x 3 x 3 x 3 x 5 x 31 x 59 x 113

Step 4: Therefore, the least common multiple of 9145 and 9153 is 83704185.