Least Common Multiple of 11071 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 11071 and 11079 the smallest integer that is 122655609 that is divisible by both numbers.

Least Common Multiple (LCM) of 11071 and 11079 is 122655609.

LCM(11071,11079) = 122655609

LCM of 11071 and 11079

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

LCM of:
and

Least Common Multiple of 11071 and 11079

LCM of 11071 and 11079 is 122655609

Least common multiple can be found by multiplying the highest exponent prime factors of 11071 and 11079. First we will calculate the prime factors of 11071 and 11079.

Prime Factorization of 11071


11071 11071
1

Prime factors of 11071 are 11071. Prime factorization of 11071 in exponential form is:

11071 = 110711

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 11071 and 11079.

LCM(11071,11079) = 32×12311×110711
LCM(11071,11079) = 122655609

Factors of 11071

List of positive integer factors of 11071 that divides 11071 without a remainder.

1, 11071

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 11071 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 11071 and 11079, than apply into the LCM equation.

GCF(11071,11079) = 1
LCM(11071,11079) = ( 11071 × 11079) / 1
LCM(11071,11079) = 122655609 / 1
LCM(11071,11079) = 122655609

Properties of LCM 11071 and 11079

(i) The LCM of 11079 and 11071 is associative

LCM of 11071 and 11079 = LCM of 11079 and 11071

Related Least Common Multiples of 11071

Related Least Common Multiples of 11079

Frequently Asked Questions on LCM of 11071 and 11079

1. What is the LCM of 11071 and 11079?

Answer: LCM of 11071 and 11079 is 122655609.

2. What are the Factors of 11071?

Answer: Factors of 11071 are 1, 11071. There are 2 integers that are factors of 11071. The greatest factor of 11071 is 11071.

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 11071 and 11079?

Answer:

Least Common Multiple of 11071 and 11079 = 122655609

Step 1: Find the prime factorization of 11071

11071 = 11071

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 = 122655609 = 3 x 3 x 1231 x 11071

Step 4: Therefore, the least common multiple of 11071 and 11079 is 122655609.