Least Common Multiple of 1152 and 1157

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 1157 the smallest integer that is 1332864 that is divisible by both numbers.

Least Common Multiple (LCM) of 1152 and 1157 is 1332864.

LCM(1152,1157) = 1332864

LCM of 1152 and 1157

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

LCM of:
and

Least Common Multiple of 1152 and 1157

LCM of 1152 and 1157 is 1332864

Least common multiple can be found by multiplying the highest exponent prime factors of 1152 and 1157. First we will calculate the prime factors of 1152 and 1157.

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 1157


13 1157
89 89
1

Prime factors of 1157 are 13,89. Prime factorization of 1157 in exponential form is:

1157 = 131×891

Now multiplying the highest exponent prime factors to calculate the LCM of 1152 and 1157.

LCM(1152,1157) = 27×32×131×891
LCM(1152,1157) = 1332864

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 1157

List of positive integer factors of 1157 that divides 1157 without a remainder.

1, 13, 89, 1157

Least Common Multiple of 1152 and 1157 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 1157, than apply into the LCM equation.

GCF(1152,1157) = 1
LCM(1152,1157) = ( 1152 × 1157) / 1
LCM(1152,1157) = 1332864 / 1
LCM(1152,1157) = 1332864

Properties of LCM 1152 and 1157

(i) The LCM of 1157 and 1152 is associative

LCM of 1152 and 1157 = LCM of 1157 and 1152

Related Least Common Multiples of 1152

Related Least Common Multiples of 1157

Frequently Asked Questions on LCM of 1152 and 1157

1. What is the LCM of 1152 and 1157?

Answer: LCM of 1152 and 1157 is 1332864.

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 1157?

Answer: Factors of 1157 are 1, 13, 89, 1157. There are 4 integers that are factors of 1157. The greatest factor of 1157 is 1157.

4. How to Find the LCM of 1152 and 1157?

Answer:

Least Common Multiple of 1152 and 1157 = 1332864

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 1157

1157 = 13 x 89

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

LCM = 1332864 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 89

Step 4: Therefore, the least common multiple of 1152 and 1157 is 1332864.