Least Common Multiple of 1151 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 1151 and 1154 the smallest integer that is 1328254 that is divisible by both numbers.

Least Common Multiple (LCM) of 1151 and 1154 is 1328254.

LCM(1151,1154) = 1328254

LCM of 1151 and 1154

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

LCM of:
and

Least Common Multiple of 1151 and 1154

LCM of 1151 and 1154 is 1328254

Least common multiple can be found by multiplying the highest exponent prime factors of 1151 and 1154. First we will calculate the prime factors of 1151 and 1154.

Prime Factorization of 1151


1151 1151
1

Prime factors of 1151 are 1151. Prime factorization of 1151 in exponential form is:

1151 = 11511

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 1151 and 1154.

LCM(1151,1154) = 21×5771×11511
LCM(1151,1154) = 1328254

Factors of 1151

List of positive integer factors of 1151 that divides 1151 without a remainder.

1, 1151

Factors of 1154

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

1, 2, 577, 1154

Least Common Multiple of 1151 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 1151 and 1154, than apply into the LCM equation.

GCF(1151,1154) = 1
LCM(1151,1154) = ( 1151 × 1154) / 1
LCM(1151,1154) = 1328254 / 1
LCM(1151,1154) = 1328254

Properties of LCM 1151 and 1154

(i) The LCM of 1154 and 1151 is associative

LCM of 1151 and 1154 = LCM of 1154 and 1151

Related Least Common Multiples of 1151

Related Least Common Multiples of 1154

Frequently Asked Questions on LCM of 1151 and 1154

1. What is the LCM of 1151 and 1154?

Answer: LCM of 1151 and 1154 is 1328254.

2. What are the Factors of 1151?

Answer: Factors of 1151 are 1, 1151. There are 2 integers that are factors of 1151. The greatest factor of 1151 is 1151.

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 1151 and 1154?

Answer:

Least Common Multiple of 1151 and 1154 = 1328254

Step 1: Find the prime factorization of 1151

1151 = 1151

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 = 1328254 = 2 x 577 x 1151

Step 4: Therefore, the least common multiple of 1151 and 1154 is 1328254.