Least Common Multiple of 11406 and 11412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11406 and 11412 the smallest integer that is 21694212 that is divisible by both numbers.

Least Common Multiple (LCM) of 11406 and 11412 is 21694212.

LCM(11406,11412) = 21694212

LCM of 11406 and 11412

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

LCM of:
and

Least Common Multiple of 11406 and 11412

LCM of 11406 and 11412 is 21694212

Least common multiple can be found by multiplying the highest exponent prime factors of 11406 and 11412. First we will calculate the prime factors of 11406 and 11412.

Prime Factorization of 11406


2 11406
3 5703
1901 1901
1

Prime factors of 11406 are 2, 3,1901. Prime factorization of 11406 in exponential form is:

11406 = 21×31×19011

Prime Factorization of 11412


2 11412
2 5706
3 2853
3 951
317 317
1

Prime factors of 11412 are 2, 3,317. Prime factorization of 11412 in exponential form is:

11412 = 22×32×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 11406 and 11412.

LCM(11406,11412) = 22×32×3171×19011
LCM(11406,11412) = 21694212

Factors of 11406

List of positive integer factors of 11406 that divides 11406 without a remainder.

1, 2, 3, 6, 1901, 3802, 5703, 11406

Factors of 11412

List of positive integer factors of 11412 that divides 11412 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 317, 634, 951, 1268, 1902, 2853, 3804, 5706, 11412

Least Common Multiple of 11406 and 11412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11406 and 11412, than apply into the LCM equation.

GCF(11406,11412) = 6
LCM(11406,11412) = ( 11406 × 11412) / 6
LCM(11406,11412) = 130165272 / 6
LCM(11406,11412) = 21694212

Properties of LCM 11406 and 11412

(i) The LCM of 11412 and 11406 is associative

LCM of 11406 and 11412 = LCM of 11412 and 11406

Related Least Common Multiples of 11406

Related Least Common Multiples of 11412

Frequently Asked Questions on LCM of 11406 and 11412

1. What is the LCM of 11406 and 11412?

Answer: LCM of 11406 and 11412 is 21694212.

2. What are the Factors of 11406?

Answer: Factors of 11406 are 1, 2, 3, 6, 1901, 3802, 5703, 11406. There are 8 integers that are factors of 11406. The greatest factor of 11406 is 11406.

3. What are the Factors of 11412?

Answer: Factors of 11412 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 317, 634, 951, 1268, 1902, 2853, 3804, 5706, 11412. There are 18 integers that are factors of 11412. The greatest factor of 11412 is 11412.

4. How to Find the LCM of 11406 and 11412?

Answer:

Least Common Multiple of 11406 and 11412 = 21694212

Step 1: Find the prime factorization of 11406

11406 = 2 x 3 x 1901

Step 2: Find the prime factorization of 11412

11412 = 2 x 2 x 3 x 3 x 317

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

LCM = 21694212 = 2 x 2 x 3 x 3 x 317 x 1901

Step 4: Therefore, the least common multiple of 11406 and 11412 is 21694212.