Least Common Multiple of 9144 and 9148

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 9148 the smallest integer that is 20912328 that is divisible by both numbers.

Least Common Multiple (LCM) of 9144 and 9148 is 20912328.

LCM(9144,9148) = 20912328

LCM of 9144 and 9148

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

LCM of:
and

Least Common Multiple of 9144 and 9148

LCM of 9144 and 9148 is 20912328

Least common multiple can be found by multiplying the highest exponent prime factors of 9144 and 9148. First we will calculate the prime factors of 9144 and 9148.

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 9148


2 9148
2 4574
2287 2287
1

Prime factors of 9148 are 2,2287. Prime factorization of 9148 in exponential form is:

9148 = 22×22871

Now multiplying the highest exponent prime factors to calculate the LCM of 9144 and 9148.

LCM(9144,9148) = 23×32×1271×22871
LCM(9144,9148) = 20912328

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 9148

List of positive integer factors of 9148 that divides 9148 without a remainder.

1, 2, 4, 2287, 4574, 9148

Least Common Multiple of 9144 and 9148 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 9148, than apply into the LCM equation.

GCF(9144,9148) = 4
LCM(9144,9148) = ( 9144 × 9148) / 4
LCM(9144,9148) = 83649312 / 4
LCM(9144,9148) = 20912328

Properties of LCM 9144 and 9148

(i) The LCM of 9148 and 9144 is associative

LCM of 9144 and 9148 = LCM of 9148 and 9144

Related Least Common Multiples of 9144

Related Least Common Multiples of 9148

Frequently Asked Questions on LCM of 9144 and 9148

1. What is the LCM of 9144 and 9148?

Answer: LCM of 9144 and 9148 is 20912328.

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 9148?

Answer: Factors of 9148 are 1, 2, 4, 2287, 4574, 9148. There are 6 integers that are factors of 9148. The greatest factor of 9148 is 9148.

4. How to Find the LCM of 9144 and 9148?

Answer:

Least Common Multiple of 9144 and 9148 = 20912328

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 9148

9148 = 2 x 2 x 2287

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

LCM = 20912328 = 2 x 2 x 2 x 3 x 3 x 127 x 2287

Step 4: Therefore, the least common multiple of 9144 and 9148 is 20912328.