Least Common Multiple of 8416 and 8421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8416 and 8421 the smallest integer that is 70871136 that is divisible by both numbers.

Least Common Multiple (LCM) of 8416 and 8421 is 70871136.

LCM(8416,8421) = 70871136

LCM of 8416 and 8421

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

LCM of:
and

Least Common Multiple of 8416 and 8421

LCM of 8416 and 8421 is 70871136

Least common multiple can be found by multiplying the highest exponent prime factors of 8416 and 8421. First we will calculate the prime factors of 8416 and 8421.

Prime Factorization of 8416


2 8416
2 4208
2 2104
2 1052
2 526
263 263
1

Prime factors of 8416 are 2,263. Prime factorization of 8416 in exponential form is:

8416 = 25×2631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8416 and 8421.

LCM(8416,8421) = 25×31×71×2631×4011
LCM(8416,8421) = 70871136

Factors of 8416

List of positive integer factors of 8416 that divides 8416 without a remainder.

1, 2, 4, 8, 16, 32, 263, 526, 1052, 2104, 4208, 8416

Factors of 8421

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

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

Least Common Multiple of 8416 and 8421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8416 and 8421, than apply into the LCM equation.

GCF(8416,8421) = 1
LCM(8416,8421) = ( 8416 × 8421) / 1
LCM(8416,8421) = 70871136 / 1
LCM(8416,8421) = 70871136

Properties of LCM 8416 and 8421

(i) The LCM of 8421 and 8416 is associative

LCM of 8416 and 8421 = LCM of 8421 and 8416

Related Least Common Multiples of 8416

Related Least Common Multiples of 8421

Frequently Asked Questions on LCM of 8416 and 8421

1. What is the LCM of 8416 and 8421?

Answer: LCM of 8416 and 8421 is 70871136.

2. What are the Factors of 8416?

Answer: Factors of 8416 are 1, 2, 4, 8, 16, 32, 263, 526, 1052, 2104, 4208, 8416. There are 12 integers that are factors of 8416. The greatest factor of 8416 is 8416.

3. 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.

4. How to Find the LCM of 8416 and 8421?

Answer:

Least Common Multiple of 8416 and 8421 = 70871136

Step 1: Find the prime factorization of 8416

8416 = 2 x 2 x 2 x 2 x 2 x 263

Step 2: Find the prime factorization of 8421

8421 = 3 x 7 x 401

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

LCM = 70871136 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 263 x 401

Step 4: Therefore, the least common multiple of 8416 and 8421 is 70871136.