Least Common Multiple of 9147 and 9154

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 9154 the smallest integer that is 83731638 that is divisible by both numbers.

Least Common Multiple (LCM) of 9147 and 9154 is 83731638.

LCM(9147,9154) = 83731638

LCM of 9147 and 9154

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

LCM of:
and

Least Common Multiple of 9147 and 9154

LCM of 9147 and 9154 is 83731638

Least common multiple can be found by multiplying the highest exponent prime factors of 9147 and 9154. First we will calculate the prime factors of 9147 and 9154.

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 9154


2 9154
23 4577
199 199
1

Prime factors of 9154 are 2, 23,199. Prime factorization of 9154 in exponential form is:

9154 = 21×231×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 9147 and 9154.

LCM(9147,9154) = 21×31×231×1991×30491
LCM(9147,9154) = 83731638

Factors of 9147

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

1, 3, 3049, 9147

Factors of 9154

List of positive integer factors of 9154 that divides 9154 without a remainder.

1, 2, 23, 46, 199, 398, 4577, 9154

Least Common Multiple of 9147 and 9154 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 9154, than apply into the LCM equation.

GCF(9147,9154) = 1
LCM(9147,9154) = ( 9147 × 9154) / 1
LCM(9147,9154) = 83731638 / 1
LCM(9147,9154) = 83731638

Properties of LCM 9147 and 9154

(i) The LCM of 9154 and 9147 is associative

LCM of 9147 and 9154 = LCM of 9154 and 9147

Related Least Common Multiples of 9147

Related Least Common Multiples of 9154

Frequently Asked Questions on LCM of 9147 and 9154

1. What is the LCM of 9147 and 9154?

Answer: LCM of 9147 and 9154 is 83731638.

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 9154?

Answer: Factors of 9154 are 1, 2, 23, 46, 199, 398, 4577, 9154. There are 8 integers that are factors of 9154. The greatest factor of 9154 is 9154.

4. How to Find the LCM of 9147 and 9154?

Answer:

Least Common Multiple of 9147 and 9154 = 83731638

Step 1: Find the prime factorization of 9147

9147 = 3 x 3049

Step 2: Find the prime factorization of 9154

9154 = 2 x 23 x 199

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

LCM = 83731638 = 2 x 3 x 23 x 199 x 3049

Step 4: Therefore, the least common multiple of 9147 and 9154 is 83731638.