Least Common Multiple of 1149 and 1152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1149 and 1152 the smallest integer that is 441216 that is divisible by both numbers.

Least Common Multiple (LCM) of 1149 and 1152 is 441216.

LCM(1149,1152) = 441216

LCM of 1149 and 1152

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

LCM of:
and

Least Common Multiple of 1149 and 1152

LCM of 1149 and 1152 is 441216

Least common multiple can be found by multiplying the highest exponent prime factors of 1149 and 1152. First we will calculate the prime factors of 1149 and 1152.

Prime Factorization of 1149


3 1149
383 383
1

Prime factors of 1149 are 3,383. Prime factorization of 1149 in exponential form is:

1149 = 31×3831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1149 and 1152.

LCM(1149,1152) = 27×32×3831
LCM(1149,1152) = 441216

Factors of 1149

List of positive integer factors of 1149 that divides 1149 without a remainder.

1, 3, 383, 1149

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

Least Common Multiple of 1149 and 1152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1149 and 1152, than apply into the LCM equation.

GCF(1149,1152) = 3
LCM(1149,1152) = ( 1149 × 1152) / 3
LCM(1149,1152) = 1323648 / 3
LCM(1149,1152) = 441216

Properties of LCM 1149 and 1152

(i) The LCM of 1152 and 1149 is associative

LCM of 1149 and 1152 = LCM of 1152 and 1149

Related Least Common Multiples of 1149

Related Least Common Multiples of 1152

Frequently Asked Questions on LCM of 1149 and 1152

1. What is the LCM of 1149 and 1152?

Answer: LCM of 1149 and 1152 is 441216.

2. What are the Factors of 1149?

Answer: Factors of 1149 are 1, 3, 383, 1149. There are 4 integers that are factors of 1149. The greatest factor of 1149 is 1149.

3. 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.

4. How to Find the LCM of 1149 and 1152?

Answer:

Least Common Multiple of 1149 and 1152 = 441216

Step 1: Find the prime factorization of 1149

1149 = 3 x 383

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 441216 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 383

Step 4: Therefore, the least common multiple of 1149 and 1152 is 441216.