Least Common Multiple of 8421 and 8428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8421 and 8428 the smallest integer that is 10138884 that is divisible by both numbers.

Least Common Multiple (LCM) of 8421 and 8428 is 10138884.

LCM(8421,8428) = 10138884

LCM of 8421 and 8428

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

LCM of:
and

Least Common Multiple of 8421 and 8428

LCM of 8421 and 8428 is 10138884

Least common multiple can be found by multiplying the highest exponent prime factors of 8421 and 8428. First we will calculate the prime factors of 8421 and 8428.

Prime Factorization of 8421


3 8421
7 2807
401 401
1

Prime factors of 8421 are 3, 7,401. Prime factorization of 8421 in exponential form is:

8421 = 31×71×4011

Prime Factorization of 8428


2 8428
2 4214
7 2107
7 301
43 43
1

Prime factors of 8428 are 2, 7,43. Prime factorization of 8428 in exponential form is:

8428 = 22×72×431

Now multiplying the highest exponent prime factors to calculate the LCM of 8421 and 8428.

LCM(8421,8428) = 22×31×72×431×4011
LCM(8421,8428) = 10138884

Factors of 8421

List of positive integer factors of 8421 that divides 8421 without a remainder.

1, 3, 7, 21, 401, 1203, 2807, 8421

Factors of 8428

List of positive integer factors of 8428 that divides 8428 without a remainder.

1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428

Least Common Multiple of 8421 and 8428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8421 and 8428, than apply into the LCM equation.

GCF(8421,8428) = 7
LCM(8421,8428) = ( 8421 × 8428) / 7
LCM(8421,8428) = 70972188 / 7
LCM(8421,8428) = 10138884

Properties of LCM 8421 and 8428

(i) The LCM of 8428 and 8421 is associative

LCM of 8421 and 8428 = LCM of 8428 and 8421

Related Least Common Multiples of 8421

Related Least Common Multiples of 8428

Frequently Asked Questions on LCM of 8421 and 8428

1. What is the LCM of 8421 and 8428?

Answer: LCM of 8421 and 8428 is 10138884.

2. What are the Factors of 8421?

Answer: Factors of 8421 are 1, 3, 7, 21, 401, 1203, 2807, 8421. There are 8 integers that are factors of 8421. The greatest factor of 8421 is 8421.

3. What are the Factors of 8428?

Answer: Factors of 8428 are 1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428. There are 18 integers that are factors of 8428. The greatest factor of 8428 is 8428.

4. How to Find the LCM of 8421 and 8428?

Answer:

Least Common Multiple of 8421 and 8428 = 10138884

Step 1: Find the prime factorization of 8421

8421 = 3 x 7 x 401

Step 2: Find the prime factorization of 8428

8428 = 2 x 2 x 7 x 7 x 43

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

LCM = 10138884 = 2 x 2 x 3 x 7 x 7 x 43 x 401

Step 4: Therefore, the least common multiple of 8421 and 8428 is 10138884.