Least Common Multiple of 1151 and 1157

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 1157 the smallest integer that is 1331707 that is divisible by both numbers.

Least Common Multiple (LCM) of 1151 and 1157 is 1331707.

LCM(1151,1157) = 1331707

LCM of 1151 and 1157

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

LCM of:
and

Least Common Multiple of 1151 and 1157

LCM of 1151 and 1157 is 1331707

Least common multiple can be found by multiplying the highest exponent prime factors of 1151 and 1157. First we will calculate the prime factors of 1151 and 1157.

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 1157


13 1157
89 89
1

Prime factors of 1157 are 13,89. Prime factorization of 1157 in exponential form is:

1157 = 131×891

Now multiplying the highest exponent prime factors to calculate the LCM of 1151 and 1157.

LCM(1151,1157) = 131×891×11511
LCM(1151,1157) = 1331707

Factors of 1151

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

1, 1151

Factors of 1157

List of positive integer factors of 1157 that divides 1157 without a remainder.

1, 13, 89, 1157

Least Common Multiple of 1151 and 1157 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 1157, than apply into the LCM equation.

GCF(1151,1157) = 1
LCM(1151,1157) = ( 1151 × 1157) / 1
LCM(1151,1157) = 1331707 / 1
LCM(1151,1157) = 1331707

Properties of LCM 1151 and 1157

(i) The LCM of 1157 and 1151 is associative

LCM of 1151 and 1157 = LCM of 1157 and 1151

Related Least Common Multiples of 1151

Related Least Common Multiples of 1157

Frequently Asked Questions on LCM of 1151 and 1157

1. What is the LCM of 1151 and 1157?

Answer: LCM of 1151 and 1157 is 1331707.

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 1157?

Answer: Factors of 1157 are 1, 13, 89, 1157. There are 4 integers that are factors of 1157. The greatest factor of 1157 is 1157.

4. How to Find the LCM of 1151 and 1157?

Answer:

Least Common Multiple of 1151 and 1157 = 1331707

Step 1: Find the prime factorization of 1151

1151 = 1151

Step 2: Find the prime factorization of 1157

1157 = 13 x 89

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

LCM = 1331707 = 13 x 89 x 1151

Step 4: Therefore, the least common multiple of 1151 and 1157 is 1331707.