Least Common Multiple of 1147 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 1147 and 1154 the smallest integer that is 1323638 that is divisible by both numbers.

Least Common Multiple (LCM) of 1147 and 1154 is 1323638.

LCM(1147,1154) = 1323638

LCM of 1147 and 1154

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

LCM of:
and

Least Common Multiple of 1147 and 1154

LCM of 1147 and 1154 is 1323638

Least common multiple can be found by multiplying the highest exponent prime factors of 1147 and 1154. First we will calculate the prime factors of 1147 and 1154.

Prime Factorization of 1147


31 1147
37 37
1

Prime factors of 1147 are 31,37. Prime factorization of 1147 in exponential form is:

1147 = 311×371

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 1147 and 1154.

LCM(1147,1154) = 21×311×371×5771
LCM(1147,1154) = 1323638

Factors of 1147

List of positive integer factors of 1147 that divides 1147 without a remainder.

1, 31, 37, 1147

Factors of 1154

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

1, 2, 577, 1154

Least Common Multiple of 1147 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 1147 and 1154, than apply into the LCM equation.

GCF(1147,1154) = 1
LCM(1147,1154) = ( 1147 × 1154) / 1
LCM(1147,1154) = 1323638 / 1
LCM(1147,1154) = 1323638

Properties of LCM 1147 and 1154

(i) The LCM of 1154 and 1147 is associative

LCM of 1147 and 1154 = LCM of 1154 and 1147

Related Least Common Multiples of 1147

Related Least Common Multiples of 1154

Frequently Asked Questions on LCM of 1147 and 1154

1. What is the LCM of 1147 and 1154?

Answer: LCM of 1147 and 1154 is 1323638.

2. What are the Factors of 1147?

Answer: Factors of 1147 are 1, 31, 37, 1147. There are 4 integers that are factors of 1147. The greatest factor of 1147 is 1147.

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 1147 and 1154?

Answer:

Least Common Multiple of 1147 and 1154 = 1323638

Step 1: Find the prime factorization of 1147

1147 = 31 x 37

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 = 1323638 = 2 x 31 x 37 x 577

Step 4: Therefore, the least common multiple of 1147 and 1154 is 1323638.