Least Common Multiple of 9144 and 9152

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 9152 the smallest integer that is 10460736 that is divisible by both numbers.

Least Common Multiple (LCM) of 9144 and 9152 is 10460736.

LCM(9144,9152) = 10460736

LCM of 9144 and 9152

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

LCM of:
and

Least Common Multiple of 9144 and 9152

LCM of 9144 and 9152 is 10460736

Least common multiple can be found by multiplying the highest exponent prime factors of 9144 and 9152. First we will calculate the prime factors of 9144 and 9152.

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 9152


2 9152
2 4576
2 2288
2 1144
2 572
2 286
11 143
13 13
1

Prime factors of 9152 are 2, 11,13. Prime factorization of 9152 in exponential form is:

9152 = 26×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 9144 and 9152.

LCM(9144,9152) = 26×32×111×131×1271
LCM(9144,9152) = 10460736

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 9152

List of positive integer factors of 9152 that divides 9152 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576, 9152

Least Common Multiple of 9144 and 9152 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 9152, than apply into the LCM equation.

GCF(9144,9152) = 8
LCM(9144,9152) = ( 9144 × 9152) / 8
LCM(9144,9152) = 83685888 / 8
LCM(9144,9152) = 10460736

Properties of LCM 9144 and 9152

(i) The LCM of 9152 and 9144 is associative

LCM of 9144 and 9152 = LCM of 9152 and 9144

Related Least Common Multiples of 9144

Related Least Common Multiples of 9152

Frequently Asked Questions on LCM of 9144 and 9152

1. What is the LCM of 9144 and 9152?

Answer: LCM of 9144 and 9152 is 10460736.

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 9152?

Answer: Factors of 9152 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576, 9152. There are 28 integers that are factors of 9152. The greatest factor of 9152 is 9152.

4. How to Find the LCM of 9144 and 9152?

Answer:

Least Common Multiple of 9144 and 9152 = 10460736

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 9152

9152 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 13

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

LCM = 10460736 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 13 x 127

Step 4: Therefore, the least common multiple of 9144 and 9152 is 10460736.