Least Common Multiple of 1169 and 1173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1169 and 1173 the smallest integer that is 1371237 that is divisible by both numbers.

Least Common Multiple (LCM) of 1169 and 1173 is 1371237.

LCM(1169,1173) = 1371237

LCM of 1169 and 1173

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

LCM of:
and

Least Common Multiple of 1169 and 1173

LCM of 1169 and 1173 is 1371237

Least common multiple can be found by multiplying the highest exponent prime factors of 1169 and 1173. First we will calculate the prime factors of 1169 and 1173.

Prime Factorization of 1169


7 1169
167 167
1

Prime factors of 1169 are 7,167. Prime factorization of 1169 in exponential form is:

1169 = 71×1671

Prime Factorization of 1173


3 1173
17 391
23 23
1

Prime factors of 1173 are 3, 17,23. Prime factorization of 1173 in exponential form is:

1173 = 31×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1169 and 1173.

LCM(1169,1173) = 31×71×171×231×1671
LCM(1169,1173) = 1371237

Factors of 1169

List of positive integer factors of 1169 that divides 1169 without a remainder.

1, 7, 167, 1169

Factors of 1173

List of positive integer factors of 1173 that divides 1173 without a remainder.

1, 3, 17, 23, 51, 69, 391, 1173

Least Common Multiple of 1169 and 1173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1169 and 1173, than apply into the LCM equation.

GCF(1169,1173) = 1
LCM(1169,1173) = ( 1169 × 1173) / 1
LCM(1169,1173) = 1371237 / 1
LCM(1169,1173) = 1371237

Properties of LCM 1169 and 1173

(i) The LCM of 1173 and 1169 is associative

LCM of 1169 and 1173 = LCM of 1173 and 1169

Related Least Common Multiples of 1169

Related Least Common Multiples of 1173

Frequently Asked Questions on LCM of 1169 and 1173

1. What is the LCM of 1169 and 1173?

Answer: LCM of 1169 and 1173 is 1371237.

2. What are the Factors of 1169?

Answer: Factors of 1169 are 1, 7, 167, 1169. There are 4 integers that are factors of 1169. The greatest factor of 1169 is 1169.

3. What are the Factors of 1173?

Answer: Factors of 1173 are 1, 3, 17, 23, 51, 69, 391, 1173. There are 8 integers that are factors of 1173. The greatest factor of 1173 is 1173.

4. How to Find the LCM of 1169 and 1173?

Answer:

Least Common Multiple of 1169 and 1173 = 1371237

Step 1: Find the prime factorization of 1169

1169 = 7 x 167

Step 2: Find the prime factorization of 1173

1173 = 3 x 17 x 23

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

LCM = 1371237 = 3 x 7 x 17 x 23 x 167

Step 4: Therefore, the least common multiple of 1169 and 1173 is 1371237.