Least Common Multiple of 1145 and 1152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1145 and 1152 the smallest integer that is 1319040 that is divisible by both numbers.

Least Common Multiple (LCM) of 1145 and 1152 is 1319040.

LCM(1145,1152) = 1319040

LCM of 1145 and 1152

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

LCM of:
and

Least Common Multiple of 1145 and 1152

LCM of 1145 and 1152 is 1319040

Least common multiple can be found by multiplying the highest exponent prime factors of 1145 and 1152. First we will calculate the prime factors of 1145 and 1152.

Prime Factorization of 1145


5 1145
229 229
1

Prime factors of 1145 are 5,229. Prime factorization of 1145 in exponential form is:

1145 = 51×2291

Prime Factorization of 1152


2 1152
2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 1152 are 2,3. Prime factorization of 1152 in exponential form is:

1152 = 27×32

Now multiplying the highest exponent prime factors to calculate the LCM of 1145 and 1152.

LCM(1145,1152) = 27×32×51×2291
LCM(1145,1152) = 1319040

Factors of 1145

List of positive integer factors of 1145 that divides 1145 without a remainder.

1, 5, 229, 1145

Factors of 1152

List of positive integer factors of 1152 that divides 1152 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152

Least Common Multiple of 1145 and 1152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1145 and 1152, than apply into the LCM equation.

GCF(1145,1152) = 1
LCM(1145,1152) = ( 1145 × 1152) / 1
LCM(1145,1152) = 1319040 / 1
LCM(1145,1152) = 1319040

Properties of LCM 1145 and 1152

(i) The LCM of 1152 and 1145 is associative

LCM of 1145 and 1152 = LCM of 1152 and 1145

Related Least Common Multiples of 1145

Related Least Common Multiples of 1152

Frequently Asked Questions on LCM of 1145 and 1152

1. What is the LCM of 1145 and 1152?

Answer: LCM of 1145 and 1152 is 1319040.

2. What are the Factors of 1145?

Answer: Factors of 1145 are 1, 5, 229, 1145. There are 4 integers that are factors of 1145. The greatest factor of 1145 is 1145.

3. What are the Factors of 1152?

Answer: Factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152. There are 24 integers that are factors of 1152. The greatest factor of 1152 is 1152.

4. How to Find the LCM of 1145 and 1152?

Answer:

Least Common Multiple of 1145 and 1152 = 1319040

Step 1: Find the prime factorization of 1145

1145 = 5 x 229

Step 2: Find the prime factorization of 1152

1152 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

LCM = 1319040 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 229

Step 4: Therefore, the least common multiple of 1145 and 1152 is 1319040.