Least Common Multiple of 1410 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 1410 and 1412 the smallest integer that is 995460 that is divisible by both numbers.

Least Common Multiple (LCM) of 1410 and 1412 is 995460.

LCM(1410,1412) = 995460

LCM of 1410 and 1412

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

LCM of:
and

Least Common Multiple of 1410 and 1412

LCM of 1410 and 1412 is 995460

Least common multiple can be found by multiplying the highest exponent prime factors of 1410 and 1412. First we will calculate the prime factors of 1410 and 1412.

Prime Factorization of 1410


2 1410
3 705
5 235
47 47
1

Prime factors of 1410 are 2, 3, 5,47. Prime factorization of 1410 in exponential form is:

1410 = 21×31×51×471

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 1410 and 1412.

LCM(1410,1412) = 22×31×51×471×3531
LCM(1410,1412) = 995460

Factors of 1410

List of positive integer factors of 1410 that divides 1410 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705, 1410

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 1410 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 1410 and 1412, than apply into the LCM equation.

GCF(1410,1412) = 2
LCM(1410,1412) = ( 1410 × 1412) / 2
LCM(1410,1412) = 1990920 / 2
LCM(1410,1412) = 995460

Properties of LCM 1410 and 1412

(i) The LCM of 1412 and 1410 is associative

LCM of 1410 and 1412 = LCM of 1412 and 1410

Related Least Common Multiples of 1410

Related Least Common Multiples of 1412

Frequently Asked Questions on LCM of 1410 and 1412

1. What is the LCM of 1410 and 1412?

Answer: LCM of 1410 and 1412 is 995460.

2. What are the Factors of 1410?

Answer: Factors of 1410 are 1, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705, 1410. There are 16 integers that are factors of 1410. The greatest factor of 1410 is 1410.

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 1410 and 1412?

Answer:

Least Common Multiple of 1410 and 1412 = 995460

Step 1: Find the prime factorization of 1410

1410 = 2 x 3 x 5 x 47

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 = 995460 = 2 x 2 x 3 x 5 x 47 x 353

Step 4: Therefore, the least common multiple of 1410 and 1412 is 995460.