Least Common Multiple of 1406 and 1412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1406 and 1412 the smallest integer that is 992636 that is divisible by both numbers.

Least Common Multiple (LCM) of 1406 and 1412 is 992636.

LCM(1406,1412) = 992636

LCM of 1406 and 1412

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

LCM of:
and

Least Common Multiple of 1406 and 1412

LCM of 1406 and 1412 is 992636

Least common multiple can be found by multiplying the highest exponent prime factors of 1406 and 1412. First we will calculate the prime factors of 1406 and 1412.

Prime Factorization of 1406


2 1406
19 703
37 37
1

Prime factors of 1406 are 2, 19,37. Prime factorization of 1406 in exponential form is:

1406 = 21×191×371

Prime Factorization of 1412


2 1412
2 706
353 353
1

Prime factors of 1412 are 2,353. Prime factorization of 1412 in exponential form is:

1412 = 22×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 1406 and 1412.

LCM(1406,1412) = 22×191×371×3531
LCM(1406,1412) = 992636

Factors of 1406

List of positive integer factors of 1406 that divides 1406 without a remainder.

1, 2, 19, 37, 38, 74, 703, 1406

Factors of 1412

List of positive integer factors of 1412 that divides 1412 without a remainder.

1, 2, 4, 353, 706, 1412

Least Common Multiple of 1406 and 1412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1406 and 1412, than apply into the LCM equation.

GCF(1406,1412) = 2
LCM(1406,1412) = ( 1406 × 1412) / 2
LCM(1406,1412) = 1985272 / 2
LCM(1406,1412) = 992636

Properties of LCM 1406 and 1412

(i) The LCM of 1412 and 1406 is associative

LCM of 1406 and 1412 = LCM of 1412 and 1406

Related Least Common Multiples of 1406

Related Least Common Multiples of 1412

Frequently Asked Questions on LCM of 1406 and 1412

1. What is the LCM of 1406 and 1412?

Answer: LCM of 1406 and 1412 is 992636.

2. What are the Factors of 1406?

Answer: Factors of 1406 are 1, 2, 19, 37, 38, 74, 703, 1406. There are 8 integers that are factors of 1406. The greatest factor of 1406 is 1406.

3. What are the Factors of 1412?

Answer: Factors of 1412 are 1, 2, 4, 353, 706, 1412. There are 6 integers that are factors of 1412. The greatest factor of 1412 is 1412.

4. How to Find the LCM of 1406 and 1412?

Answer:

Least Common Multiple of 1406 and 1412 = 992636

Step 1: Find the prime factorization of 1406

1406 = 2 x 19 x 37

Step 2: Find the prime factorization of 1412

1412 = 2 x 2 x 353

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

LCM = 992636 = 2 x 2 x 19 x 37 x 353

Step 4: Therefore, the least common multiple of 1406 and 1412 is 992636.