Least Common Multiple of 1152 and 1159

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 1159 the smallest integer that is 1335168 that is divisible by both numbers.

Least Common Multiple (LCM) of 1152 and 1159 is 1335168.

LCM(1152,1159) = 1335168

LCM of 1152 and 1159

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

LCM of:
and

Least Common Multiple of 1152 and 1159

LCM of 1152 and 1159 is 1335168

Least common multiple can be found by multiplying the highest exponent prime factors of 1152 and 1159. First we will calculate the prime factors of 1152 and 1159.

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 1159


19 1159
61 61
1

Prime factors of 1159 are 19,61. Prime factorization of 1159 in exponential form is:

1159 = 191×611

Now multiplying the highest exponent prime factors to calculate the LCM of 1152 and 1159.

LCM(1152,1159) = 27×32×191×611
LCM(1152,1159) = 1335168

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 1159

List of positive integer factors of 1159 that divides 1159 without a remainder.

1, 19, 61, 1159

Least Common Multiple of 1152 and 1159 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 1159, than apply into the LCM equation.

GCF(1152,1159) = 1
LCM(1152,1159) = ( 1152 × 1159) / 1
LCM(1152,1159) = 1335168 / 1
LCM(1152,1159) = 1335168

Properties of LCM 1152 and 1159

(i) The LCM of 1159 and 1152 is associative

LCM of 1152 and 1159 = LCM of 1159 and 1152

Related Least Common Multiples of 1152

Related Least Common Multiples of 1159

Frequently Asked Questions on LCM of 1152 and 1159

1. What is the LCM of 1152 and 1159?

Answer: LCM of 1152 and 1159 is 1335168.

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 1159?

Answer: Factors of 1159 are 1, 19, 61, 1159. There are 4 integers that are factors of 1159. The greatest factor of 1159 is 1159.

4. How to Find the LCM of 1152 and 1159?

Answer:

Least Common Multiple of 1152 and 1159 = 1335168

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 1159

1159 = 19 x 61

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

LCM = 1335168 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 61

Step 4: Therefore, the least common multiple of 1152 and 1159 is 1335168.