Least Common Multiple of 6404 and 6410

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 6410 the smallest integer that is 20524820 that is divisible by both numbers.

Least Common Multiple (LCM) of 6404 and 6410 is 20524820.

LCM(6404,6410) = 20524820

LCM of 6404 and 6410

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

LCM of:
and

Least Common Multiple of 6404 and 6410

LCM of 6404 and 6410 is 20524820

Least common multiple can be found by multiplying the highest exponent prime factors of 6404 and 6410. First we will calculate the prime factors of 6404 and 6410.

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 6410


2 6410
5 3205
641 641
1

Prime factors of 6410 are 2, 5,641. Prime factorization of 6410 in exponential form is:

6410 = 21×51×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 6404 and 6410.

LCM(6404,6410) = 22×51×6411×16011
LCM(6404,6410) = 20524820

Factors of 6404

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

1, 2, 4, 1601, 3202, 6404

Factors of 6410

List of positive integer factors of 6410 that divides 6410 without a remainder.

1, 2, 5, 10, 641, 1282, 3205, 6410

Least Common Multiple of 6404 and 6410 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 6410, than apply into the LCM equation.

GCF(6404,6410) = 2
LCM(6404,6410) = ( 6404 × 6410) / 2
LCM(6404,6410) = 41049640 / 2
LCM(6404,6410) = 20524820

Properties of LCM 6404 and 6410

(i) The LCM of 6410 and 6404 is associative

LCM of 6404 and 6410 = LCM of 6410 and 6404

Related Least Common Multiples of 6404

Related Least Common Multiples of 6410

Frequently Asked Questions on LCM of 6404 and 6410

1. What is the LCM of 6404 and 6410?

Answer: LCM of 6404 and 6410 is 20524820.

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 6410?

Answer: Factors of 6410 are 1, 2, 5, 10, 641, 1282, 3205, 6410. There are 8 integers that are factors of 6410. The greatest factor of 6410 is 6410.

4. How to Find the LCM of 6404 and 6410?

Answer:

Least Common Multiple of 6404 and 6410 = 20524820

Step 1: Find the prime factorization of 6404

6404 = 2 x 2 x 1601

Step 2: Find the prime factorization of 6410

6410 = 2 x 5 x 641

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

LCM = 20524820 = 2 x 2 x 5 x 641 x 1601

Step 4: Therefore, the least common multiple of 6404 and 6410 is 20524820.