Least Common Multiple of 9144 and 9149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9144 and 9149 the smallest integer that is 83658456 that is divisible by both numbers.

Least Common Multiple (LCM) of 9144 and 9149 is 83658456.

LCM(9144,9149) = 83658456

LCM of 9144 and 9149

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

LCM of:
and

Least Common Multiple of 9144 and 9149

LCM of 9144 and 9149 is 83658456

Least common multiple can be found by multiplying the highest exponent prime factors of 9144 and 9149. First we will calculate the prime factors of 9144 and 9149.

Prime Factorization of 9144


2 9144
2 4572
2 2286
3 1143
3 381
127 127
1

Prime factors of 9144 are 2, 3,127. Prime factorization of 9144 in exponential form is:

9144 = 23×32×1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9144 and 9149.

LCM(9144,9149) = 23×32×71×1271×13071
LCM(9144,9149) = 83658456

Factors of 9144

List of positive integer factors of 9144 that divides 9144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144

Factors of 9149

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

1, 7, 1307, 9149

Least Common Multiple of 9144 and 9149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9144 and 9149, than apply into the LCM equation.

GCF(9144,9149) = 1
LCM(9144,9149) = ( 9144 × 9149) / 1
LCM(9144,9149) = 83658456 / 1
LCM(9144,9149) = 83658456

Properties of LCM 9144 and 9149

(i) The LCM of 9149 and 9144 is associative

LCM of 9144 and 9149 = LCM of 9149 and 9144

Related Least Common Multiples of 9144

Related Least Common Multiples of 9149

Frequently Asked Questions on LCM of 9144 and 9149

1. What is the LCM of 9144 and 9149?

Answer: LCM of 9144 and 9149 is 83658456.

2. What are the Factors of 9144?

Answer: Factors of 9144 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144. There are 24 integers that are factors of 9144. The greatest factor of 9144 is 9144.

3. 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.

4. How to Find the LCM of 9144 and 9149?

Answer:

Least Common Multiple of 9144 and 9149 = 83658456

Step 1: Find the prime factorization of 9144

9144 = 2 x 2 x 2 x 3 x 3 x 127

Step 2: Find the prime factorization of 9149

9149 = 7 x 1307

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

LCM = 83658456 = 2 x 2 x 2 x 3 x 3 x 7 x 127 x 1307

Step 4: Therefore, the least common multiple of 9144 and 9149 is 83658456.