Least Common Multiple of 1168 and 1170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1168 and 1170 the smallest integer that is 683280 that is divisible by both numbers.

Least Common Multiple (LCM) of 1168 and 1170 is 683280.

LCM(1168,1170) = 683280

LCM of 1168 and 1170

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

LCM of:
and

Least Common Multiple of 1168 and 1170

LCM of 1168 and 1170 is 683280

Least common multiple can be found by multiplying the highest exponent prime factors of 1168 and 1170. First we will calculate the prime factors of 1168 and 1170.

Prime Factorization of 1168


2 1168
2 584
2 292
2 146
73 73
1

Prime factors of 1168 are 2,73. Prime factorization of 1168 in exponential form is:

1168 = 24×731

Prime Factorization of 1170


2 1170
3 585
3 195
5 65
13 13
1

Prime factors of 1170 are 2, 3, 5,13. Prime factorization of 1170 in exponential form is:

1170 = 21×32×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1168 and 1170.

LCM(1168,1170) = 24×32×51×131×731
LCM(1168,1170) = 683280

Factors of 1168

List of positive integer factors of 1168 that divides 1168 without a remainder.

1, 2, 4, 8, 16, 73, 146, 292, 584, 1168

Factors of 1170

List of positive integer factors of 1170 that divides 1170 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170

Least Common Multiple of 1168 and 1170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1168 and 1170, than apply into the LCM equation.

GCF(1168,1170) = 2
LCM(1168,1170) = ( 1168 × 1170) / 2
LCM(1168,1170) = 1366560 / 2
LCM(1168,1170) = 683280

Properties of LCM 1168 and 1170

(i) The LCM of 1170 and 1168 is associative

LCM of 1168 and 1170 = LCM of 1170 and 1168

Related Least Common Multiples of 1168

Related Least Common Multiples of 1170

Frequently Asked Questions on LCM of 1168 and 1170

1. What is the LCM of 1168 and 1170?

Answer: LCM of 1168 and 1170 is 683280.

2. What are the Factors of 1168?

Answer: Factors of 1168 are 1, 2, 4, 8, 16, 73, 146, 292, 584, 1168. There are 10 integers that are factors of 1168. The greatest factor of 1168 is 1168.

3. What are the Factors of 1170?

Answer: Factors of 1170 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170. There are 24 integers that are factors of 1170. The greatest factor of 1170 is 1170.

4. How to Find the LCM of 1168 and 1170?

Answer:

Least Common Multiple of 1168 and 1170 = 683280

Step 1: Find the prime factorization of 1168

1168 = 2 x 2 x 2 x 2 x 73

Step 2: Find the prime factorization of 1170

1170 = 2 x 3 x 3 x 5 x 13

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

LCM = 683280 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 73

Step 4: Therefore, the least common multiple of 1168 and 1170 is 683280.