Least Common Multiple of 16422 and 16426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 16422 and 16426 the smallest integer that is 134873886 that is divisible by both numbers.

Least Common Multiple (LCM) of 16422 and 16426 is 134873886.

LCM(16422,16426) = 134873886

LCM of 16422 and 16426

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

LCM of:
and

Least Common Multiple of 16422 and 16426

LCM of 16422 and 16426 is 134873886

Least common multiple can be found by multiplying the highest exponent prime factors of 16422 and 16426. First we will calculate the prime factors of 16422 and 16426.

Prime Factorization of 16422


2 16422
3 8211
7 2737
17 391
23 23
1

Prime factors of 16422 are 2, 3, 7, 17,23. Prime factorization of 16422 in exponential form is:

16422 = 21×31×71×171×231

Prime Factorization of 16426


2 16426
43 8213
191 191
1

Prime factors of 16426 are 2, 43,191. Prime factorization of 16426 in exponential form is:

16426 = 21×431×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 16422 and 16426.

LCM(16422,16426) = 21×31×71×171×231×431×1911
LCM(16422,16426) = 134873886

Factors of 16422

List of positive integer factors of 16422 that divides 16422 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 23, 34, 42, 46, 51, 69, 102, 119, 138, 161, 238, 322, 357, 391, 483, 714, 782, 966, 1173, 2346, 2737, 5474, 8211, 16422

Factors of 16426

List of positive integer factors of 16426 that divides 16426 without a remainder.

1, 2, 43, 86, 191, 382, 8213, 16426

Least Common Multiple of 16422 and 16426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16422 and 16426, than apply into the LCM equation.

GCF(16422,16426) = 2
LCM(16422,16426) = ( 16422 × 16426) / 2
LCM(16422,16426) = 269747772 / 2
LCM(16422,16426) = 134873886

Properties of LCM 16422 and 16426

(i) The LCM of 16426 and 16422 is associative

LCM of 16422 and 16426 = LCM of 16426 and 16422

Related Least Common Multiples of 16422

Related Least Common Multiples of 16426

Frequently Asked Questions on LCM of 16422 and 16426

1. What is the LCM of 16422 and 16426?

Answer: LCM of 16422 and 16426 is 134873886.

2. What are the Factors of 16422?

Answer: Factors of 16422 are 1, 2, 3, 6, 7, 14, 17, 21, 23, 34, 42, 46, 51, 69, 102, 119, 138, 161, 238, 322, 357, 391, 483, 714, 782, 966, 1173, 2346, 2737, 5474, 8211, 16422. There are 32 integers that are factors of 16422. The greatest factor of 16422 is 16422.

3. What are the Factors of 16426?

Answer: Factors of 16426 are 1, 2, 43, 86, 191, 382, 8213, 16426. There are 8 integers that are factors of 16426. The greatest factor of 16426 is 16426.

4. How to Find the LCM of 16422 and 16426?

Answer:

Least Common Multiple of 16422 and 16426 = 134873886

Step 1: Find the prime factorization of 16422

16422 = 2 x 3 x 7 x 17 x 23

Step 2: Find the prime factorization of 16426

16426 = 2 x 43 x 191

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

LCM = 134873886 = 2 x 3 x 7 x 17 x 23 x 43 x 191

Step 4: Therefore, the least common multiple of 16422 and 16426 is 134873886.