Least Common Multiple of 1152 and 1160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1152 and 1160 the smallest integer that is 167040 that is divisible by both numbers.

Least Common Multiple (LCM) of 1152 and 1160 is 167040.

LCM(1152,1160) = 167040

LCM of 1152 and 1160

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

LCM of:
and

Least Common Multiple of 1152 and 1160

LCM of 1152 and 1160 is 167040

Least common multiple can be found by multiplying the highest exponent prime factors of 1152 and 1160. First we will calculate the prime factors of 1152 and 1160.

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

Prime Factorization of 1160


2 1160
2 580
2 290
5 145
29 29
1

Prime factors of 1160 are 2, 5,29. Prime factorization of 1160 in exponential form is:

1160 = 23×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1152 and 1160.

LCM(1152,1160) = 27×32×51×291
LCM(1152,1160) = 167040

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

Factors of 1160

List of positive integer factors of 1160 that divides 1160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160

Least Common Multiple of 1152 and 1160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1152 and 1160, than apply into the LCM equation.

GCF(1152,1160) = 8
LCM(1152,1160) = ( 1152 × 1160) / 8
LCM(1152,1160) = 1336320 / 8
LCM(1152,1160) = 167040

Properties of LCM 1152 and 1160

(i) The LCM of 1160 and 1152 is associative

LCM of 1152 and 1160 = LCM of 1160 and 1152

Related Least Common Multiples of 1152

Related Least Common Multiples of 1160

Frequently Asked Questions on LCM of 1152 and 1160

1. What is the LCM of 1152 and 1160?

Answer: LCM of 1152 and 1160 is 167040.

2. 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.

3. What are the Factors of 1160?

Answer: Factors of 1160 are 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160. There are 16 integers that are factors of 1160. The greatest factor of 1160 is 1160.

4. How to Find the LCM of 1152 and 1160?

Answer:

Least Common Multiple of 1152 and 1160 = 167040

Step 1: 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 2: Find the prime factorization of 1160

1160 = 2 x 2 x 2 x 5 x 29

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

LCM = 167040 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 29

Step 4: Therefore, the least common multiple of 1152 and 1160 is 167040.