Least Common Multiple of 1152 and 1156

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 1156 the smallest integer that is 332928 that is divisible by both numbers.

Least Common Multiple (LCM) of 1152 and 1156 is 332928.

LCM(1152,1156) = 332928

LCM of 1152 and 1156

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

LCM of:
and

Least Common Multiple of 1152 and 1156

LCM of 1152 and 1156 is 332928

Least common multiple can be found by multiplying the highest exponent prime factors of 1152 and 1156. First we will calculate the prime factors of 1152 and 1156.

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 1156


2 1156
2 578
17 289
17 17
1

Prime factors of 1156 are 2,17. Prime factorization of 1156 in exponential form is:

1156 = 22×172

Now multiplying the highest exponent prime factors to calculate the LCM of 1152 and 1156.

LCM(1152,1156) = 27×32×172
LCM(1152,1156) = 332928

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 1156

List of positive integer factors of 1156 that divides 1156 without a remainder.

1, 2, 4, 17, 34, 68, 289, 578, 1156

Least Common Multiple of 1152 and 1156 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 1156, than apply into the LCM equation.

GCF(1152,1156) = 4
LCM(1152,1156) = ( 1152 × 1156) / 4
LCM(1152,1156) = 1331712 / 4
LCM(1152,1156) = 332928

Properties of LCM 1152 and 1156

(i) The LCM of 1156 and 1152 is associative

LCM of 1152 and 1156 = LCM of 1156 and 1152

Related Least Common Multiples of 1152

Related Least Common Multiples of 1156

Frequently Asked Questions on LCM of 1152 and 1156

1. What is the LCM of 1152 and 1156?

Answer: LCM of 1152 and 1156 is 332928.

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 1156?

Answer: Factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, 1156. There are 9 integers that are factors of 1156. The greatest factor of 1156 is 1156.

4. How to Find the LCM of 1152 and 1156?

Answer:

Least Common Multiple of 1152 and 1156 = 332928

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 1156

1156 = 2 x 2 x 17 x 17

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

LCM = 332928 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 17

Step 4: Therefore, the least common multiple of 1152 and 1156 is 332928.