Least Common Multiple of 11072 and 11079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11072 and 11079 the smallest integer that is 122666688 that is divisible by both numbers.

Least Common Multiple (LCM) of 11072 and 11079 is 122666688.

LCM(11072,11079) = 122666688

LCM of 11072 and 11079

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

LCM of:
and

Least Common Multiple of 11072 and 11079

LCM of 11072 and 11079 is 122666688

Least common multiple can be found by multiplying the highest exponent prime factors of 11072 and 11079. First we will calculate the prime factors of 11072 and 11079.

Prime Factorization of 11072


2 11072
2 5536
2 2768
2 1384
2 692
2 346
173 173
1

Prime factors of 11072 are 2,173. Prime factorization of 11072 in exponential form is:

11072 = 26×1731

Prime Factorization of 11079


3 11079
3 3693
1231 1231
1

Prime factors of 11079 are 3,1231. Prime factorization of 11079 in exponential form is:

11079 = 32×12311

Now multiplying the highest exponent prime factors to calculate the LCM of 11072 and 11079.

LCM(11072,11079) = 26×32×1731×12311
LCM(11072,11079) = 122666688

Factors of 11072

List of positive integer factors of 11072 that divides 11072 without a remainder.

1, 2, 4, 8, 16, 32, 64, 173, 346, 692, 1384, 2768, 5536, 11072

Factors of 11079

List of positive integer factors of 11079 that divides 11079 without a remainder.

1, 3, 9, 1231, 3693, 11079

Least Common Multiple of 11072 and 11079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11072 and 11079, than apply into the LCM equation.

GCF(11072,11079) = 1
LCM(11072,11079) = ( 11072 × 11079) / 1
LCM(11072,11079) = 122666688 / 1
LCM(11072,11079) = 122666688

Properties of LCM 11072 and 11079

(i) The LCM of 11079 and 11072 is associative

LCM of 11072 and 11079 = LCM of 11079 and 11072

Related Least Common Multiples of 11072

Related Least Common Multiples of 11079

Frequently Asked Questions on LCM of 11072 and 11079

1. What is the LCM of 11072 and 11079?

Answer: LCM of 11072 and 11079 is 122666688.

2. What are the Factors of 11072?

Answer: Factors of 11072 are 1, 2, 4, 8, 16, 32, 64, 173, 346, 692, 1384, 2768, 5536, 11072. There are 14 integers that are factors of 11072. The greatest factor of 11072 is 11072.

3. What are the Factors of 11079?

Answer: Factors of 11079 are 1, 3, 9, 1231, 3693, 11079. There are 6 integers that are factors of 11079. The greatest factor of 11079 is 11079.

4. How to Find the LCM of 11072 and 11079?

Answer:

Least Common Multiple of 11072 and 11079 = 122666688

Step 1: Find the prime factorization of 11072

11072 = 2 x 2 x 2 x 2 x 2 x 2 x 173

Step 2: Find the prime factorization of 11079

11079 = 3 x 3 x 1231

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

LCM = 122666688 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 173 x 1231

Step 4: Therefore, the least common multiple of 11072 and 11079 is 122666688.