Least Common Multiple of 11305 and 11312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11305 and 11312 the smallest integer that is 18268880 that is divisible by both numbers.

Least Common Multiple (LCM) of 11305 and 11312 is 18268880.

LCM(11305,11312) = 18268880

LCM of 11305 and 11312

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

LCM of:
and

Least Common Multiple of 11305 and 11312

LCM of 11305 and 11312 is 18268880

Least common multiple can be found by multiplying the highest exponent prime factors of 11305 and 11312. First we will calculate the prime factors of 11305 and 11312.

Prime Factorization of 11305


5 11305
7 2261
17 323
19 19
1

Prime factors of 11305 are 5, 7, 17,19. Prime factorization of 11305 in exponential form is:

11305 = 51×71×171×191

Prime Factorization of 11312


2 11312
2 5656
2 2828
2 1414
7 707
101 101
1

Prime factors of 11312 are 2, 7,101. Prime factorization of 11312 in exponential form is:

11312 = 24×71×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 11305 and 11312.

LCM(11305,11312) = 24×51×71×171×191×1011
LCM(11305,11312) = 18268880

Factors of 11305

List of positive integer factors of 11305 that divides 11305 without a remainder.

1, 5, 7, 17, 19, 35, 85, 95, 119, 133, 323, 595, 665, 1615, 2261, 11305

Factors of 11312

List of positive integer factors of 11312 that divides 11312 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 101, 112, 202, 404, 707, 808, 1414, 1616, 2828, 5656, 11312

Least Common Multiple of 11305 and 11312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11305 and 11312, than apply into the LCM equation.

GCF(11305,11312) = 7
LCM(11305,11312) = ( 11305 × 11312) / 7
LCM(11305,11312) = 127882160 / 7
LCM(11305,11312) = 18268880

Properties of LCM 11305 and 11312

(i) The LCM of 11312 and 11305 is associative

LCM of 11305 and 11312 = LCM of 11312 and 11305

Related Least Common Multiples of 11305

Related Least Common Multiples of 11312

Frequently Asked Questions on LCM of 11305 and 11312

1. What is the LCM of 11305 and 11312?

Answer: LCM of 11305 and 11312 is 18268880.

2. What are the Factors of 11305?

Answer: Factors of 11305 are 1, 5, 7, 17, 19, 35, 85, 95, 119, 133, 323, 595, 665, 1615, 2261, 11305. There are 16 integers that are factors of 11305. The greatest factor of 11305 is 11305.

3. What are the Factors of 11312?

Answer: Factors of 11312 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 101, 112, 202, 404, 707, 808, 1414, 1616, 2828, 5656, 11312. There are 20 integers that are factors of 11312. The greatest factor of 11312 is 11312.

4. How to Find the LCM of 11305 and 11312?

Answer:

Least Common Multiple of 11305 and 11312 = 18268880

Step 1: Find the prime factorization of 11305

11305 = 5 x 7 x 17 x 19

Step 2: Find the prime factorization of 11312

11312 = 2 x 2 x 2 x 2 x 7 x 101

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

LCM = 18268880 = 2 x 2 x 2 x 2 x 5 x 7 x 17 x 19 x 101

Step 4: Therefore, the least common multiple of 11305 and 11312 is 18268880.