Least Common Multiple of 1412 and 1416

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 1416 the smallest integer that is 499848 that is divisible by both numbers.

Least Common Multiple (LCM) of 1412 and 1416 is 499848.

LCM(1412,1416) = 499848

LCM of 1412 and 1416

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

LCM of:
and

Least Common Multiple of 1412 and 1416

LCM of 1412 and 1416 is 499848

Least common multiple can be found by multiplying the highest exponent prime factors of 1412 and 1416. First we will calculate the prime factors of 1412 and 1416.

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 1416


2 1416
2 708
2 354
3 177
59 59
1

Prime factors of 1416 are 2, 3,59. Prime factorization of 1416 in exponential form is:

1416 = 23×31×591

Now multiplying the highest exponent prime factors to calculate the LCM of 1412 and 1416.

LCM(1412,1416) = 23×31×591×3531
LCM(1412,1416) = 499848

Factors of 1412

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

1, 2, 4, 353, 706, 1412

Factors of 1416

List of positive integer factors of 1416 that divides 1416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708, 1416

Least Common Multiple of 1412 and 1416 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 1416, than apply into the LCM equation.

GCF(1412,1416) = 4
LCM(1412,1416) = ( 1412 × 1416) / 4
LCM(1412,1416) = 1999392 / 4
LCM(1412,1416) = 499848

Properties of LCM 1412 and 1416

(i) The LCM of 1416 and 1412 is associative

LCM of 1412 and 1416 = LCM of 1416 and 1412

Related Least Common Multiples of 1412

Related Least Common Multiples of 1416

Frequently Asked Questions on LCM of 1412 and 1416

1. What is the LCM of 1412 and 1416?

Answer: LCM of 1412 and 1416 is 499848.

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 1416?

Answer: Factors of 1416 are 1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708, 1416. There are 16 integers that are factors of 1416. The greatest factor of 1416 is 1416.

4. How to Find the LCM of 1412 and 1416?

Answer:

Least Common Multiple of 1412 and 1416 = 499848

Step 1: Find the prime factorization of 1412

1412 = 2 x 2 x 353

Step 2: Find the prime factorization of 1416

1416 = 2 x 2 x 2 x 3 x 59

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

LCM = 499848 = 2 x 2 x 2 x 3 x 59 x 353

Step 4: Therefore, the least common multiple of 1412 and 1416 is 499848.