Least Common Multiple of 8422 and 8427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8422 and 8427 the smallest integer that is 70972194 that is divisible by both numbers.

Least Common Multiple (LCM) of 8422 and 8427 is 70972194.

LCM(8422,8427) = 70972194

LCM of 8422 and 8427

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

LCM of:
and

Least Common Multiple of 8422 and 8427

LCM of 8422 and 8427 is 70972194

Least common multiple can be found by multiplying the highest exponent prime factors of 8422 and 8427. First we will calculate the prime factors of 8422 and 8427.

Prime Factorization of 8422


2 8422
4211 4211
1

Prime factors of 8422 are 2,4211. Prime factorization of 8422 in exponential form is:

8422 = 21×42111

Prime Factorization of 8427


3 8427
53 2809
53 53
1

Prime factors of 8427 are 3,53. Prime factorization of 8427 in exponential form is:

8427 = 31×532

Now multiplying the highest exponent prime factors to calculate the LCM of 8422 and 8427.

LCM(8422,8427) = 21×31×532×42111
LCM(8422,8427) = 70972194

Factors of 8422

List of positive integer factors of 8422 that divides 8422 without a remainder.

1, 2, 4211, 8422

Factors of 8427

List of positive integer factors of 8427 that divides 8427 without a remainder.

1, 3, 53, 159, 2809, 8427

Least Common Multiple of 8422 and 8427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8422 and 8427, than apply into the LCM equation.

GCF(8422,8427) = 1
LCM(8422,8427) = ( 8422 × 8427) / 1
LCM(8422,8427) = 70972194 / 1
LCM(8422,8427) = 70972194

Properties of LCM 8422 and 8427

(i) The LCM of 8427 and 8422 is associative

LCM of 8422 and 8427 = LCM of 8427 and 8422

Related Least Common Multiples of 8422

Related Least Common Multiples of 8427

Frequently Asked Questions on LCM of 8422 and 8427

1. What is the LCM of 8422 and 8427?

Answer: LCM of 8422 and 8427 is 70972194.

2. What are the Factors of 8422?

Answer: Factors of 8422 are 1, 2, 4211, 8422. There are 4 integers that are factors of 8422. The greatest factor of 8422 is 8422.

3. What are the Factors of 8427?

Answer: Factors of 8427 are 1, 3, 53, 159, 2809, 8427. There are 6 integers that are factors of 8427. The greatest factor of 8427 is 8427.

4. How to Find the LCM of 8422 and 8427?

Answer:

Least Common Multiple of 8422 and 8427 = 70972194

Step 1: Find the prime factorization of 8422

8422 = 2 x 4211

Step 2: Find the prime factorization of 8427

8427 = 3 x 53 x 53

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

LCM = 70972194 = 2 x 3 x 53 x 53 x 4211

Step 4: Therefore, the least common multiple of 8422 and 8427 is 70972194.