Least Common Multiple of 1416 and 1421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1416 and 1421 the smallest integer that is 2012136 that is divisible by both numbers.

Least Common Multiple (LCM) of 1416 and 1421 is 2012136.

LCM(1416,1421) = 2012136

LCM of 1416 and 1421

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

LCM of:
and

Least Common Multiple of 1416 and 1421

LCM of 1416 and 1421 is 2012136

Least common multiple can be found by multiplying the highest exponent prime factors of 1416 and 1421. First we will calculate the prime factors of 1416 and 1421.

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

Prime Factorization of 1421


7 1421
7 203
29 29
1

Prime factors of 1421 are 7,29. Prime factorization of 1421 in exponential form is:

1421 = 72×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1416 and 1421.

LCM(1416,1421) = 23×31×72×291×591
LCM(1416,1421) = 2012136

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

Factors of 1421

List of positive integer factors of 1421 that divides 1421 without a remainder.

1, 7, 29, 49, 203, 1421

Least Common Multiple of 1416 and 1421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1416 and 1421, than apply into the LCM equation.

GCF(1416,1421) = 1
LCM(1416,1421) = ( 1416 × 1421) / 1
LCM(1416,1421) = 2012136 / 1
LCM(1416,1421) = 2012136

Properties of LCM 1416 and 1421

(i) The LCM of 1421 and 1416 is associative

LCM of 1416 and 1421 = LCM of 1421 and 1416

Related Least Common Multiples of 1416

Related Least Common Multiples of 1421

Frequently Asked Questions on LCM of 1416 and 1421

1. What is the LCM of 1416 and 1421?

Answer: LCM of 1416 and 1421 is 2012136.

2. 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.

3. What are the Factors of 1421?

Answer: Factors of 1421 are 1, 7, 29, 49, 203, 1421. There are 6 integers that are factors of 1421. The greatest factor of 1421 is 1421.

4. How to Find the LCM of 1416 and 1421?

Answer:

Least Common Multiple of 1416 and 1421 = 2012136

Step 1: Find the prime factorization of 1416

1416 = 2 x 2 x 2 x 3 x 59

Step 2: Find the prime factorization of 1421

1421 = 7 x 7 x 29

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

LCM = 2012136 = 2 x 2 x 2 x 3 x 7 x 7 x 29 x 59

Step 4: Therefore, the least common multiple of 1416 and 1421 is 2012136.