Least Common Multiple of 1152 and 1158

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 1158 the smallest integer that is 222336 that is divisible by both numbers.

Least Common Multiple (LCM) of 1152 and 1158 is 222336.

LCM(1152,1158) = 222336

LCM of 1152 and 1158

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

LCM of:
and

Least Common Multiple of 1152 and 1158

LCM of 1152 and 1158 is 222336

Least common multiple can be found by multiplying the highest exponent prime factors of 1152 and 1158. First we will calculate the prime factors of 1152 and 1158.

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 1158


2 1158
3 579
193 193
1

Prime factors of 1158 are 2, 3,193. Prime factorization of 1158 in exponential form is:

1158 = 21×31×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 1152 and 1158.

LCM(1152,1158) = 27×32×1931
LCM(1152,1158) = 222336

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 1158

List of positive integer factors of 1158 that divides 1158 without a remainder.

1, 2, 3, 6, 193, 386, 579, 1158

Least Common Multiple of 1152 and 1158 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 1158, than apply into the LCM equation.

GCF(1152,1158) = 6
LCM(1152,1158) = ( 1152 × 1158) / 6
LCM(1152,1158) = 1334016 / 6
LCM(1152,1158) = 222336

Properties of LCM 1152 and 1158

(i) The LCM of 1158 and 1152 is associative

LCM of 1152 and 1158 = LCM of 1158 and 1152

Related Least Common Multiples of 1152

Related Least Common Multiples of 1158

Frequently Asked Questions on LCM of 1152 and 1158

1. What is the LCM of 1152 and 1158?

Answer: LCM of 1152 and 1158 is 222336.

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 1158?

Answer: Factors of 1158 are 1, 2, 3, 6, 193, 386, 579, 1158. There are 8 integers that are factors of 1158. The greatest factor of 1158 is 1158.

4. How to Find the LCM of 1152 and 1158?

Answer:

Least Common Multiple of 1152 and 1158 = 222336

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 1158

1158 = 2 x 3 x 193

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

LCM = 222336 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 193

Step 4: Therefore, the least common multiple of 1152 and 1158 is 222336.