Least Common Multiple of 8401 and 8404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8401 and 8404 the smallest integer that is 70602004 that is divisible by both numbers.

Least Common Multiple (LCM) of 8401 and 8404 is 70602004.

LCM(8401,8404) = 70602004

LCM of 8401 and 8404

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

LCM of:
and

Least Common Multiple of 8401 and 8404

LCM of 8401 and 8404 is 70602004

Least common multiple can be found by multiplying the highest exponent prime factors of 8401 and 8404. First we will calculate the prime factors of 8401 and 8404.

Prime Factorization of 8401


31 8401
271 271
1

Prime factors of 8401 are 31,271. Prime factorization of 8401 in exponential form is:

8401 = 311×2711

Prime Factorization of 8404


2 8404
2 4202
11 2101
191 191
1

Prime factors of 8404 are 2, 11,191. Prime factorization of 8404 in exponential form is:

8404 = 22×111×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 8401 and 8404.

LCM(8401,8404) = 22×111×311×1911×2711
LCM(8401,8404) = 70602004

Factors of 8401

List of positive integer factors of 8401 that divides 8401 without a remainder.

1, 31, 271, 8401

Factors of 8404

List of positive integer factors of 8404 that divides 8404 without a remainder.

1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404

Least Common Multiple of 8401 and 8404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8401 and 8404, than apply into the LCM equation.

GCF(8401,8404) = 1
LCM(8401,8404) = ( 8401 × 8404) / 1
LCM(8401,8404) = 70602004 / 1
LCM(8401,8404) = 70602004

Properties of LCM 8401 and 8404

(i) The LCM of 8404 and 8401 is associative

LCM of 8401 and 8404 = LCM of 8404 and 8401

Related Least Common Multiples of 8401

Related Least Common Multiples of 8404

Frequently Asked Questions on LCM of 8401 and 8404

1. What is the LCM of 8401 and 8404?

Answer: LCM of 8401 and 8404 is 70602004.

2. What are the Factors of 8401?

Answer: Factors of 8401 are 1, 31, 271, 8401. There are 4 integers that are factors of 8401. The greatest factor of 8401 is 8401.

3. What are the Factors of 8404?

Answer: Factors of 8404 are 1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404. There are 12 integers that are factors of 8404. The greatest factor of 8404 is 8404.

4. How to Find the LCM of 8401 and 8404?

Answer:

Least Common Multiple of 8401 and 8404 = 70602004

Step 1: Find the prime factorization of 8401

8401 = 31 x 271

Step 2: Find the prime factorization of 8404

8404 = 2 x 2 x 11 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 = 70602004 = 2 x 2 x 11 x 31 x 191 x 271

Step 4: Therefore, the least common multiple of 8401 and 8404 is 70602004.