Least Common Multiple of 1151 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 1151 and 1158 the smallest integer that is 1332858 that is divisible by both numbers.

Least Common Multiple (LCM) of 1151 and 1158 is 1332858.

LCM(1151,1158) = 1332858

LCM of 1151 and 1158

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

LCM of:
and

Least Common Multiple of 1151 and 1158

LCM of 1151 and 1158 is 1332858

Least common multiple can be found by multiplying the highest exponent prime factors of 1151 and 1158. First we will calculate the prime factors of 1151 and 1158.

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 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 1151 and 1158.

LCM(1151,1158) = 21×31×1931×11511
LCM(1151,1158) = 1332858

Factors of 1151

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

1, 1151

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 1151 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 1151 and 1158, than apply into the LCM equation.

GCF(1151,1158) = 1
LCM(1151,1158) = ( 1151 × 1158) / 1
LCM(1151,1158) = 1332858 / 1
LCM(1151,1158) = 1332858

Properties of LCM 1151 and 1158

(i) The LCM of 1158 and 1151 is associative

LCM of 1151 and 1158 = LCM of 1158 and 1151

Related Least Common Multiples of 1151

Related Least Common Multiples of 1158

Frequently Asked Questions on LCM of 1151 and 1158

1. What is the LCM of 1151 and 1158?

Answer: LCM of 1151 and 1158 is 1332858.

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 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 1151 and 1158?

Answer:

Least Common Multiple of 1151 and 1158 = 1332858

Step 1: Find the prime factorization of 1151

1151 = 1151

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 = 1332858 = 2 x 3 x 193 x 1151

Step 4: Therefore, the least common multiple of 1151 and 1158 is 1332858.