Least Common Multiple of 6404 and 6406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6404 and 6406 the smallest integer that is 20512012 that is divisible by both numbers.

Least Common Multiple (LCM) of 6404 and 6406 is 20512012.

LCM(6404,6406) = 20512012

LCM of 6404 and 6406

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

LCM of:
and

Least Common Multiple of 6404 and 6406

LCM of 6404 and 6406 is 20512012

Least common multiple can be found by multiplying the highest exponent prime factors of 6404 and 6406. First we will calculate the prime factors of 6404 and 6406.

Prime Factorization of 6404


2 6404
2 3202
1601 1601
1

Prime factors of 6404 are 2,1601. Prime factorization of 6404 in exponential form is:

6404 = 22×16011

Prime Factorization of 6406


2 6406
3203 3203
1

Prime factors of 6406 are 2,3203. Prime factorization of 6406 in exponential form is:

6406 = 21×32031

Now multiplying the highest exponent prime factors to calculate the LCM of 6404 and 6406.

LCM(6404,6406) = 22×16011×32031
LCM(6404,6406) = 20512012

Factors of 6404

List of positive integer factors of 6404 that divides 6404 without a remainder.

1, 2, 4, 1601, 3202, 6404

Factors of 6406

List of positive integer factors of 6406 that divides 6406 without a remainder.

1, 2, 3203, 6406

Least Common Multiple of 6404 and 6406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6404 and 6406, than apply into the LCM equation.

GCF(6404,6406) = 2
LCM(6404,6406) = ( 6404 × 6406) / 2
LCM(6404,6406) = 41024024 / 2
LCM(6404,6406) = 20512012

Properties of LCM 6404 and 6406

(i) The LCM of 6406 and 6404 is associative

LCM of 6404 and 6406 = LCM of 6406 and 6404

Related Least Common Multiples of 6404

Related Least Common Multiples of 6406

Frequently Asked Questions on LCM of 6404 and 6406

1. What is the LCM of 6404 and 6406?

Answer: LCM of 6404 and 6406 is 20512012.

2. What are the Factors of 6404?

Answer: Factors of 6404 are 1, 2, 4, 1601, 3202, 6404. There are 6 integers that are factors of 6404. The greatest factor of 6404 is 6404.

3. What are the Factors of 6406?

Answer: Factors of 6406 are 1, 2, 3203, 6406. There are 4 integers that are factors of 6406. The greatest factor of 6406 is 6406.

4. How to Find the LCM of 6404 and 6406?

Answer:

Least Common Multiple of 6404 and 6406 = 20512012

Step 1: Find the prime factorization of 6404

6404 = 2 x 2 x 1601

Step 2: Find the prime factorization of 6406

6406 = 2 x 3203

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

LCM = 20512012 = 2 x 2 x 1601 x 3203

Step 4: Therefore, the least common multiple of 6404 and 6406 is 20512012.