Least Common Multiple of 1416 and 1422

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 1422 the smallest integer that is 335592 that is divisible by both numbers.

Least Common Multiple (LCM) of 1416 and 1422 is 335592.

LCM(1416,1422) = 335592

LCM of 1416 and 1422

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

LCM of:
and

Least Common Multiple of 1416 and 1422

LCM of 1416 and 1422 is 335592

Least common multiple can be found by multiplying the highest exponent prime factors of 1416 and 1422. First we will calculate the prime factors of 1416 and 1422.

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 1422


2 1422
3 711
3 237
79 79
1

Prime factors of 1422 are 2, 3,79. Prime factorization of 1422 in exponential form is:

1422 = 21×32×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1416 and 1422.

LCM(1416,1422) = 23×32×591×791
LCM(1416,1422) = 335592

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 1422

List of positive integer factors of 1422 that divides 1422 without a remainder.

1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422

Least Common Multiple of 1416 and 1422 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 1422, than apply into the LCM equation.

GCF(1416,1422) = 6
LCM(1416,1422) = ( 1416 × 1422) / 6
LCM(1416,1422) = 2013552 / 6
LCM(1416,1422) = 335592

Properties of LCM 1416 and 1422

(i) The LCM of 1422 and 1416 is associative

LCM of 1416 and 1422 = LCM of 1422 and 1416

Related Least Common Multiples of 1416

Related Least Common Multiples of 1422

Frequently Asked Questions on LCM of 1416 and 1422

1. What is the LCM of 1416 and 1422?

Answer: LCM of 1416 and 1422 is 335592.

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 1422?

Answer: Factors of 1422 are 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422. There are 12 integers that are factors of 1422. The greatest factor of 1422 is 1422.

4. How to Find the LCM of 1416 and 1422?

Answer:

Least Common Multiple of 1416 and 1422 = 335592

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 1422

1422 = 2 x 3 x 3 x 79

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

LCM = 335592 = 2 x 2 x 2 x 3 x 3 x 59 x 79

Step 4: Therefore, the least common multiple of 1416 and 1422 is 335592.