Least Common Multiple of 13422 and 13426

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 13426 the smallest integer that is 90101886 that is divisible by both numbers.

Least Common Multiple (LCM) of 13422 and 13426 is 90101886.

LCM(13422,13426) = 90101886

LCM of 13422 and 13426

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

LCM of:
and

Least Common Multiple of 13422 and 13426

LCM of 13422 and 13426 is 90101886

Least common multiple can be found by multiplying the highest exponent prime factors of 13422 and 13426. First we will calculate the prime factors of 13422 and 13426.

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 13426


2 13426
7 6713
7 959
137 137
1

Prime factors of 13426 are 2, 7,137. Prime factorization of 13426 in exponential form is:

13426 = 21×72×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 13422 and 13426.

LCM(13422,13426) = 21×31×72×1371×22371
LCM(13422,13426) = 90101886

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 13426

List of positive integer factors of 13426 that divides 13426 without a remainder.

1, 2, 7, 14, 49, 98, 137, 274, 959, 1918, 6713, 13426

Least Common Multiple of 13422 and 13426 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 13426, than apply into the LCM equation.

GCF(13422,13426) = 2
LCM(13422,13426) = ( 13422 × 13426) / 2
LCM(13422,13426) = 180203772 / 2
LCM(13422,13426) = 90101886

Properties of LCM 13422 and 13426

(i) The LCM of 13426 and 13422 is associative

LCM of 13422 and 13426 = LCM of 13426 and 13422

Related Least Common Multiples of 13422

Related Least Common Multiples of 13426

Frequently Asked Questions on LCM of 13422 and 13426

1. What is the LCM of 13422 and 13426?

Answer: LCM of 13422 and 13426 is 90101886.

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 13426?

Answer: Factors of 13426 are 1, 2, 7, 14, 49, 98, 137, 274, 959, 1918, 6713, 13426. There are 12 integers that are factors of 13426. The greatest factor of 13426 is 13426.

4. How to Find the LCM of 13422 and 13426?

Answer:

Least Common Multiple of 13422 and 13426 = 90101886

Step 1: Find the prime factorization of 13422

13422 = 2 x 3 x 2237

Step 2: Find the prime factorization of 13426

13426 = 2 x 7 x 7 x 137

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

LCM = 90101886 = 2 x 3 x 7 x 7 x 137 x 2237

Step 4: Therefore, the least common multiple of 13422 and 13426 is 90101886.