Least Common Multiple of 9146 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 9146 and 9153 the smallest integer that is 83713338 that is divisible by both numbers.

Least Common Multiple (LCM) of 9146 and 9153 is 83713338.

LCM(9146,9153) = 83713338

LCM of 9146 and 9153

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

LCM of:
and

Least Common Multiple of 9146 and 9153

LCM of 9146 and 9153 is 83713338

Least common multiple can be found by multiplying the highest exponent prime factors of 9146 and 9153. First we will calculate the prime factors of 9146 and 9153.

Prime Factorization of 9146


2 9146
17 4573
269 269
1

Prime factors of 9146 are 2, 17,269. Prime factorization of 9146 in exponential form is:

9146 = 21×171×2691

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 9146 and 9153.

LCM(9146,9153) = 21×34×171×1131×2691
LCM(9146,9153) = 83713338

Factors of 9146

List of positive integer factors of 9146 that divides 9146 without a remainder.

1, 2, 17, 34, 269, 538, 4573, 9146

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 9146 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 9146 and 9153, than apply into the LCM equation.

GCF(9146,9153) = 1
LCM(9146,9153) = ( 9146 × 9153) / 1
LCM(9146,9153) = 83713338 / 1
LCM(9146,9153) = 83713338

Properties of LCM 9146 and 9153

(i) The LCM of 9153 and 9146 is associative

LCM of 9146 and 9153 = LCM of 9153 and 9146

Related Least Common Multiples of 9146

Related Least Common Multiples of 9153

Frequently Asked Questions on LCM of 9146 and 9153

1. What is the LCM of 9146 and 9153?

Answer: LCM of 9146 and 9153 is 83713338.

2. What are the Factors of 9146?

Answer: Factors of 9146 are 1, 2, 17, 34, 269, 538, 4573, 9146. There are 8 integers that are factors of 9146. The greatest factor of 9146 is 9146.

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 9146 and 9153?

Answer:

Least Common Multiple of 9146 and 9153 = 83713338

Step 1: Find the prime factorization of 9146

9146 = 2 x 17 x 269

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 = 83713338 = 2 x 3 x 3 x 3 x 3 x 17 x 113 x 269

Step 4: Therefore, the least common multiple of 9146 and 9153 is 83713338.