Least Common Multiple of 9147 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 9147 and 9153 the smallest integer that is 27907497 that is divisible by both numbers.

Least Common Multiple (LCM) of 9147 and 9153 is 27907497.

LCM(9147,9153) = 27907497

LCM of 9147 and 9153

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

LCM of:
and

Least Common Multiple of 9147 and 9153

LCM of 9147 and 9153 is 27907497

Least common multiple can be found by multiplying the highest exponent prime factors of 9147 and 9153. First we will calculate the prime factors of 9147 and 9153.

Prime Factorization of 9147


3 9147
3049 3049
1

Prime factors of 9147 are 3,3049. Prime factorization of 9147 in exponential form is:

9147 = 31×30491

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 9147 and 9153.

LCM(9147,9153) = 34×1131×30491
LCM(9147,9153) = 27907497

Factors of 9147

List of positive integer factors of 9147 that divides 9147 without a remainder.

1, 3, 3049, 9147

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 9147 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 9147 and 9153, than apply into the LCM equation.

GCF(9147,9153) = 3
LCM(9147,9153) = ( 9147 × 9153) / 3
LCM(9147,9153) = 83722491 / 3
LCM(9147,9153) = 27907497

Properties of LCM 9147 and 9153

(i) The LCM of 9153 and 9147 is associative

LCM of 9147 and 9153 = LCM of 9153 and 9147

Related Least Common Multiples of 9147

Related Least Common Multiples of 9153

Frequently Asked Questions on LCM of 9147 and 9153

1. What is the LCM of 9147 and 9153?

Answer: LCM of 9147 and 9153 is 27907497.

2. What are the Factors of 9147?

Answer: Factors of 9147 are 1, 3, 3049, 9147. There are 4 integers that are factors of 9147. The greatest factor of 9147 is 9147.

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 9147 and 9153?

Answer:

Least Common Multiple of 9147 and 9153 = 27907497

Step 1: Find the prime factorization of 9147

9147 = 3 x 3049

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 = 27907497 = 3 x 3 x 3 x 3 x 113 x 3049

Step 4: Therefore, the least common multiple of 9147 and 9153 is 27907497.