Least Common Multiple of 13422 and 13424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13422 and 13424 the smallest integer that is 90088464 that is divisible by both numbers.

Least Common Multiple (LCM) of 13422 and 13424 is 90088464.

LCM(13422,13424) = 90088464

LCM of 13422 and 13424

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

LCM of:
and

Least Common Multiple of 13422 and 13424

LCM of 13422 and 13424 is 90088464

Least common multiple can be found by multiplying the highest exponent prime factors of 13422 and 13424. First we will calculate the prime factors of 13422 and 13424.

Prime Factorization of 13422


2 13422
3 6711
2237 2237
1

Prime factors of 13422 are 2, 3,2237. Prime factorization of 13422 in exponential form is:

13422 = 21×31×22371

Prime Factorization of 13424


2 13424
2 6712
2 3356
2 1678
839 839
1

Prime factors of 13424 are 2,839. Prime factorization of 13424 in exponential form is:

13424 = 24×8391

Now multiplying the highest exponent prime factors to calculate the LCM of 13422 and 13424.

LCM(13422,13424) = 24×31×8391×22371
LCM(13422,13424) = 90088464

Factors of 13422

List of positive integer factors of 13422 that divides 13422 without a remainder.

1, 2, 3, 6, 2237, 4474, 6711, 13422

Factors of 13424

List of positive integer factors of 13424 that divides 13424 without a remainder.

1, 2, 4, 8, 16, 839, 1678, 3356, 6712, 13424

Least Common Multiple of 13422 and 13424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13422 and 13424, than apply into the LCM equation.

GCF(13422,13424) = 2
LCM(13422,13424) = ( 13422 × 13424) / 2
LCM(13422,13424) = 180176928 / 2
LCM(13422,13424) = 90088464

Properties of LCM 13422 and 13424

(i) The LCM of 13424 and 13422 is associative

LCM of 13422 and 13424 = LCM of 13424 and 13422

Related Least Common Multiples of 13422

Related Least Common Multiples of 13424

Frequently Asked Questions on LCM of 13422 and 13424

1. What is the LCM of 13422 and 13424?

Answer: LCM of 13422 and 13424 is 90088464.

2. What are the Factors of 13422?

Answer: Factors of 13422 are 1, 2, 3, 6, 2237, 4474, 6711, 13422. There are 8 integers that are factors of 13422. The greatest factor of 13422 is 13422.

3. What are the Factors of 13424?

Answer: Factors of 13424 are 1, 2, 4, 8, 16, 839, 1678, 3356, 6712, 13424. There are 10 integers that are factors of 13424. The greatest factor of 13424 is 13424.

4. How to Find the LCM of 13422 and 13424?

Answer:

Least Common Multiple of 13422 and 13424 = 90088464

Step 1: Find the prime factorization of 13422

13422 = 2 x 3 x 2237

Step 2: Find the prime factorization of 13424

13424 = 2 x 2 x 2 x 2 x 839

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

LCM = 90088464 = 2 x 2 x 2 x 2 x 3 x 839 x 2237

Step 4: Therefore, the least common multiple of 13422 and 13424 is 90088464.