Least Common Multiple of 9145 and 9151

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 9151 the smallest integer that is 83685895 that is divisible by both numbers.

Least Common Multiple (LCM) of 9145 and 9151 is 83685895.

LCM(9145,9151) = 83685895

LCM of 9145 and 9151

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

LCM of:
and

Least Common Multiple of 9145 and 9151

LCM of 9145 and 9151 is 83685895

Least common multiple can be found by multiplying the highest exponent prime factors of 9145 and 9151. First we will calculate the prime factors of 9145 and 9151.

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 9151


9151 9151
1

Prime factors of 9151 are 9151. Prime factorization of 9151 in exponential form is:

9151 = 91511

Now multiplying the highest exponent prime factors to calculate the LCM of 9145 and 9151.

LCM(9145,9151) = 51×311×591×91511
LCM(9145,9151) = 83685895

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 9151

List of positive integer factors of 9151 that divides 9151 without a remainder.

1, 9151

Least Common Multiple of 9145 and 9151 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 9151, than apply into the LCM equation.

GCF(9145,9151) = 1
LCM(9145,9151) = ( 9145 × 9151) / 1
LCM(9145,9151) = 83685895 / 1
LCM(9145,9151) = 83685895

Properties of LCM 9145 and 9151

(i) The LCM of 9151 and 9145 is associative

LCM of 9145 and 9151 = LCM of 9151 and 9145

Related Least Common Multiples of 9145

Related Least Common Multiples of 9151

Frequently Asked Questions on LCM of 9145 and 9151

1. What is the LCM of 9145 and 9151?

Answer: LCM of 9145 and 9151 is 83685895.

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 9151?

Answer: Factors of 9151 are 1, 9151. There are 2 integers that are factors of 9151. The greatest factor of 9151 is 9151.

4. How to Find the LCM of 9145 and 9151?

Answer:

Least Common Multiple of 9145 and 9151 = 83685895

Step 1: Find the prime factorization of 9145

9145 = 5 x 31 x 59

Step 2: Find the prime factorization of 9151

9151 = 9151

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

LCM = 83685895 = 5 x 31 x 59 x 9151

Step 4: Therefore, the least common multiple of 9145 and 9151 is 83685895.