Least Common Multiple of 6410 and 6418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6410 and 6418 the smallest integer that is 20569690 that is divisible by both numbers.

Least Common Multiple (LCM) of 6410 and 6418 is 20569690.

LCM(6410,6418) = 20569690

LCM of 6410 and 6418

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

LCM of:
and

Least Common Multiple of 6410 and 6418

LCM of 6410 and 6418 is 20569690

Least common multiple can be found by multiplying the highest exponent prime factors of 6410 and 6418. First we will calculate the prime factors of 6410 and 6418.

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

Prime Factorization of 6418


2 6418
3209 3209
1

Prime factors of 6418 are 2,3209. Prime factorization of 6418 in exponential form is:

6418 = 21×32091

Now multiplying the highest exponent prime factors to calculate the LCM of 6410 and 6418.

LCM(6410,6418) = 21×51×6411×32091
LCM(6410,6418) = 20569690

Factors of 6410

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

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

Factors of 6418

List of positive integer factors of 6418 that divides 6418 without a remainder.

1, 2, 3209, 6418

Least Common Multiple of 6410 and 6418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6410 and 6418, than apply into the LCM equation.

GCF(6410,6418) = 2
LCM(6410,6418) = ( 6410 × 6418) / 2
LCM(6410,6418) = 41139380 / 2
LCM(6410,6418) = 20569690

Properties of LCM 6410 and 6418

(i) The LCM of 6418 and 6410 is associative

LCM of 6410 and 6418 = LCM of 6418 and 6410

Related Least Common Multiples of 6410

Related Least Common Multiples of 6418

Frequently Asked Questions on LCM of 6410 and 6418

1. What is the LCM of 6410 and 6418?

Answer: LCM of 6410 and 6418 is 20569690.

2. 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.

3. What are the Factors of 6418?

Answer: Factors of 6418 are 1, 2, 3209, 6418. There are 4 integers that are factors of 6418. The greatest factor of 6418 is 6418.

4. How to Find the LCM of 6410 and 6418?

Answer:

Least Common Multiple of 6410 and 6418 = 20569690

Step 1: Find the prime factorization of 6410

6410 = 2 x 5 x 641

Step 2: Find the prime factorization of 6418

6418 = 2 x 3209

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

LCM = 20569690 = 2 x 5 x 641 x 3209

Step 4: Therefore, the least common multiple of 6410 and 6418 is 20569690.