Least Common Multiple of 1163 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 1163 and 1170 the smallest integer that is 1360710 that is divisible by both numbers.

Least Common Multiple (LCM) of 1163 and 1170 is 1360710.

LCM(1163,1170) = 1360710

LCM of 1163 and 1170

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

LCM of:
and

Least Common Multiple of 1163 and 1170

LCM of 1163 and 1170 is 1360710

Least common multiple can be found by multiplying the highest exponent prime factors of 1163 and 1170. First we will calculate the prime factors of 1163 and 1170.

Prime Factorization of 1163


1163 1163
1

Prime factors of 1163 are 1163. Prime factorization of 1163 in exponential form is:

1163 = 11631

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 1163 and 1170.

LCM(1163,1170) = 21×32×51×131×11631
LCM(1163,1170) = 1360710

Factors of 1163

List of positive integer factors of 1163 that divides 1163 without a remainder.

1, 1163

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 1163 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 1163 and 1170, than apply into the LCM equation.

GCF(1163,1170) = 1
LCM(1163,1170) = ( 1163 × 1170) / 1
LCM(1163,1170) = 1360710 / 1
LCM(1163,1170) = 1360710

Properties of LCM 1163 and 1170

(i) The LCM of 1170 and 1163 is associative

LCM of 1163 and 1170 = LCM of 1170 and 1163

Related Least Common Multiples of 1163

Related Least Common Multiples of 1170

Frequently Asked Questions on LCM of 1163 and 1170

1. What is the LCM of 1163 and 1170?

Answer: LCM of 1163 and 1170 is 1360710.

2. What are the Factors of 1163?

Answer: Factors of 1163 are 1, 1163. There are 2 integers that are factors of 1163. The greatest factor of 1163 is 1163.

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 1163 and 1170?

Answer:

Least Common Multiple of 1163 and 1170 = 1360710

Step 1: Find the prime factorization of 1163

1163 = 1163

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 = 1360710 = 2 x 3 x 3 x 5 x 13 x 1163

Step 4: Therefore, the least common multiple of 1163 and 1170 is 1360710.