Least Common Multiple of 1152 and 1154

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 1154 the smallest integer that is 664704 that is divisible by both numbers.

Least Common Multiple (LCM) of 1152 and 1154 is 664704.

LCM(1152,1154) = 664704

LCM of 1152 and 1154

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

LCM of:
and

Least Common Multiple of 1152 and 1154

LCM of 1152 and 1154 is 664704

Least common multiple can be found by multiplying the highest exponent prime factors of 1152 and 1154. First we will calculate the prime factors of 1152 and 1154.

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 1154


2 1154
577 577
1

Prime factors of 1154 are 2,577. Prime factorization of 1154 in exponential form is:

1154 = 21×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 1152 and 1154.

LCM(1152,1154) = 27×32×5771
LCM(1152,1154) = 664704

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 1154

List of positive integer factors of 1154 that divides 1154 without a remainder.

1, 2, 577, 1154

Least Common Multiple of 1152 and 1154 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 1154, than apply into the LCM equation.

GCF(1152,1154) = 2
LCM(1152,1154) = ( 1152 × 1154) / 2
LCM(1152,1154) = 1329408 / 2
LCM(1152,1154) = 664704

Properties of LCM 1152 and 1154

(i) The LCM of 1154 and 1152 is associative

LCM of 1152 and 1154 = LCM of 1154 and 1152

Related Least Common Multiples of 1152

Related Least Common Multiples of 1154

Frequently Asked Questions on LCM of 1152 and 1154

1. What is the LCM of 1152 and 1154?

Answer: LCM of 1152 and 1154 is 664704.

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 1154?

Answer: Factors of 1154 are 1, 2, 577, 1154. There are 4 integers that are factors of 1154. The greatest factor of 1154 is 1154.

4. How to Find the LCM of 1152 and 1154?

Answer:

Least Common Multiple of 1152 and 1154 = 664704

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 1154

1154 = 2 x 577

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

LCM = 664704 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 577

Step 4: Therefore, the least common multiple of 1152 and 1154 is 664704.