Least Common Multiple of 9149 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 9149 and 9154 the smallest integer that is 83749946 that is divisible by both numbers.

Least Common Multiple (LCM) of 9149 and 9154 is 83749946.

LCM(9149,9154) = 83749946

LCM of 9149 and 9154

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

LCM of:
and

Least Common Multiple of 9149 and 9154

LCM of 9149 and 9154 is 83749946

Least common multiple can be found by multiplying the highest exponent prime factors of 9149 and 9154. First we will calculate the prime factors of 9149 and 9154.

Prime Factorization of 9149


7 9149
1307 1307
1

Prime factors of 9149 are 7,1307. Prime factorization of 9149 in exponential form is:

9149 = 71×13071

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 9149 and 9154.

LCM(9149,9154) = 21×71×231×1991×13071
LCM(9149,9154) = 83749946

Factors of 9149

List of positive integer factors of 9149 that divides 9149 without a remainder.

1, 7, 1307, 9149

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 9149 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 9149 and 9154, than apply into the LCM equation.

GCF(9149,9154) = 1
LCM(9149,9154) = ( 9149 × 9154) / 1
LCM(9149,9154) = 83749946 / 1
LCM(9149,9154) = 83749946

Properties of LCM 9149 and 9154

(i) The LCM of 9154 and 9149 is associative

LCM of 9149 and 9154 = LCM of 9154 and 9149

Related Least Common Multiples of 9149

Related Least Common Multiples of 9154

Frequently Asked Questions on LCM of 9149 and 9154

1. What is the LCM of 9149 and 9154?

Answer: LCM of 9149 and 9154 is 83749946.

2. What are the Factors of 9149?

Answer: Factors of 9149 are 1, 7, 1307, 9149. There are 4 integers that are factors of 9149. The greatest factor of 9149 is 9149.

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 9149 and 9154?

Answer:

Least Common Multiple of 9149 and 9154 = 83749946

Step 1: Find the prime factorization of 9149

9149 = 7 x 1307

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 = 83749946 = 2 x 7 x 23 x 199 x 1307

Step 4: Therefore, the least common multiple of 9149 and 9154 is 83749946.