Least Common Multiple of 9138 and 9144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9138 and 9144 the smallest integer that is 13926312 that is divisible by both numbers.

Least Common Multiple (LCM) of 9138 and 9144 is 13926312.

LCM(9138,9144) = 13926312

LCM of 9138 and 9144

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

LCM of:
and

Least Common Multiple of 9138 and 9144

LCM of 9138 and 9144 is 13926312

Least common multiple can be found by multiplying the highest exponent prime factors of 9138 and 9144. First we will calculate the prime factors of 9138 and 9144.

Prime Factorization of 9138


2 9138
3 4569
1523 1523
1

Prime factors of 9138 are 2, 3,1523. Prime factorization of 9138 in exponential form is:

9138 = 21×31×15231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9138 and 9144.

LCM(9138,9144) = 23×32×1271×15231
LCM(9138,9144) = 13926312

Factors of 9138

List of positive integer factors of 9138 that divides 9138 without a remainder.

1, 2, 3, 6, 1523, 3046, 4569, 9138

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

Least Common Multiple of 9138 and 9144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9138 and 9144, than apply into the LCM equation.

GCF(9138,9144) = 6
LCM(9138,9144) = ( 9138 × 9144) / 6
LCM(9138,9144) = 83557872 / 6
LCM(9138,9144) = 13926312

Properties of LCM 9138 and 9144

(i) The LCM of 9144 and 9138 is associative

LCM of 9138 and 9144 = LCM of 9144 and 9138

Related Least Common Multiples of 9138

Related Least Common Multiples of 9144

Frequently Asked Questions on LCM of 9138 and 9144

1. What is the LCM of 9138 and 9144?

Answer: LCM of 9138 and 9144 is 13926312.

2. What are the Factors of 9138?

Answer: Factors of 9138 are 1, 2, 3, 6, 1523, 3046, 4569, 9138. There are 8 integers that are factors of 9138. The greatest factor of 9138 is 9138.

3. 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.

4. How to Find the LCM of 9138 and 9144?

Answer:

Least Common Multiple of 9138 and 9144 = 13926312

Step 1: Find the prime factorization of 9138

9138 = 2 x 3 x 1523

Step 2: Find the prime factorization of 9144

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

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

LCM = 13926312 = 2 x 2 x 2 x 3 x 3 x 127 x 1523

Step 4: Therefore, the least common multiple of 9138 and 9144 is 13926312.