Least Common Multiple of 1412 and 1420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1412 and 1420 the smallest integer that is 501260 that is divisible by both numbers.

Least Common Multiple (LCM) of 1412 and 1420 is 501260.

LCM(1412,1420) = 501260

LCM of 1412 and 1420

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

LCM of:
and

Least Common Multiple of 1412 and 1420

LCM of 1412 and 1420 is 501260

Least common multiple can be found by multiplying the highest exponent prime factors of 1412 and 1420. First we will calculate the prime factors of 1412 and 1420.

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

Prime Factorization of 1420


2 1420
2 710
5 355
71 71
1

Prime factors of 1420 are 2, 5,71. Prime factorization of 1420 in exponential form is:

1420 = 22×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1412 and 1420.

LCM(1412,1420) = 22×51×711×3531
LCM(1412,1420) = 501260

Factors of 1412

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

1, 2, 4, 353, 706, 1412

Factors of 1420

List of positive integer factors of 1420 that divides 1420 without a remainder.

1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420

Least Common Multiple of 1412 and 1420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1412 and 1420, than apply into the LCM equation.

GCF(1412,1420) = 4
LCM(1412,1420) = ( 1412 × 1420) / 4
LCM(1412,1420) = 2005040 / 4
LCM(1412,1420) = 501260

Properties of LCM 1412 and 1420

(i) The LCM of 1420 and 1412 is associative

LCM of 1412 and 1420 = LCM of 1420 and 1412

Related Least Common Multiples of 1412

Related Least Common Multiples of 1420

Frequently Asked Questions on LCM of 1412 and 1420

1. What is the LCM of 1412 and 1420?

Answer: LCM of 1412 and 1420 is 501260.

2. 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.

3. What are the Factors of 1420?

Answer: Factors of 1420 are 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420. There are 12 integers that are factors of 1420. The greatest factor of 1420 is 1420.

4. How to Find the LCM of 1412 and 1420?

Answer:

Least Common Multiple of 1412 and 1420 = 501260

Step 1: Find the prime factorization of 1412

1412 = 2 x 2 x 353

Step 2: Find the prime factorization of 1420

1420 = 2 x 2 x 5 x 71

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

LCM = 501260 = 2 x 2 x 5 x 71 x 353

Step 4: Therefore, the least common multiple of 1412 and 1420 is 501260.