Least Common Multiple of 9142 and 9145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9142 and 9145 the smallest integer that is 83603590 that is divisible by both numbers.

Least Common Multiple (LCM) of 9142 and 9145 is 83603590.

LCM(9142,9145) = 83603590

LCM of 9142 and 9145

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

LCM of:
and

Least Common Multiple of 9142 and 9145

LCM of 9142 and 9145 is 83603590

Least common multiple can be found by multiplying the highest exponent prime factors of 9142 and 9145. First we will calculate the prime factors of 9142 and 9145.

Prime Factorization of 9142


2 9142
7 4571
653 653
1

Prime factors of 9142 are 2, 7,653. Prime factorization of 9142 in exponential form is:

9142 = 21×71×6531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9142 and 9145.

LCM(9142,9145) = 21×51×71×311×591×6531
LCM(9142,9145) = 83603590

Factors of 9142

List of positive integer factors of 9142 that divides 9142 without a remainder.

1, 2, 7, 14, 653, 1306, 4571, 9142

Factors of 9145

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

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

Least Common Multiple of 9142 and 9145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9142 and 9145, than apply into the LCM equation.

GCF(9142,9145) = 1
LCM(9142,9145) = ( 9142 × 9145) / 1
LCM(9142,9145) = 83603590 / 1
LCM(9142,9145) = 83603590

Properties of LCM 9142 and 9145

(i) The LCM of 9145 and 9142 is associative

LCM of 9142 and 9145 = LCM of 9145 and 9142

Related Least Common Multiples of 9142

Related Least Common Multiples of 9145

Frequently Asked Questions on LCM of 9142 and 9145

1. What is the LCM of 9142 and 9145?

Answer: LCM of 9142 and 9145 is 83603590.

2. What are the Factors of 9142?

Answer: Factors of 9142 are 1, 2, 7, 14, 653, 1306, 4571, 9142. There are 8 integers that are factors of 9142. The greatest factor of 9142 is 9142.

3. 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.

4. How to Find the LCM of 9142 and 9145?

Answer:

Least Common Multiple of 9142 and 9145 = 83603590

Step 1: Find the prime factorization of 9142

9142 = 2 x 7 x 653

Step 2: Find the prime factorization of 9145

9145 = 5 x 31 x 59

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

LCM = 83603590 = 2 x 5 x 7 x 31 x 59 x 653

Step 4: Therefore, the least common multiple of 9142 and 9145 is 83603590.