Least Common Multiple of 6410 and 6417

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 6417 the smallest integer that is 41132970 that is divisible by both numbers.

Least Common Multiple (LCM) of 6410 and 6417 is 41132970.

LCM(6410,6417) = 41132970

LCM of 6410 and 6417

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

LCM of:
and

Least Common Multiple of 6410 and 6417

LCM of 6410 and 6417 is 41132970

Least common multiple can be found by multiplying the highest exponent prime factors of 6410 and 6417. First we will calculate the prime factors of 6410 and 6417.

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 6417


3 6417
3 2139
23 713
31 31
1

Prime factors of 6417 are 3, 23,31. Prime factorization of 6417 in exponential form is:

6417 = 32×231×311

Now multiplying the highest exponent prime factors to calculate the LCM of 6410 and 6417.

LCM(6410,6417) = 21×32×51×231×311×6411
LCM(6410,6417) = 41132970

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 6417

List of positive integer factors of 6417 that divides 6417 without a remainder.

1, 3, 9, 23, 31, 69, 93, 207, 279, 713, 2139, 6417

Least Common Multiple of 6410 and 6417 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 6417, than apply into the LCM equation.

GCF(6410,6417) = 1
LCM(6410,6417) = ( 6410 × 6417) / 1
LCM(6410,6417) = 41132970 / 1
LCM(6410,6417) = 41132970

Properties of LCM 6410 and 6417

(i) The LCM of 6417 and 6410 is associative

LCM of 6410 and 6417 = LCM of 6417 and 6410

Frequently Asked Questions on LCM of 6410 and 6417

1. What is the LCM of 6410 and 6417?

Answer: LCM of 6410 and 6417 is 41132970.

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 6417?

Answer: Factors of 6417 are 1, 3, 9, 23, 31, 69, 93, 207, 279, 713, 2139, 6417. There are 12 integers that are factors of 6417. The greatest factor of 6417 is 6417.

4. How to Find the LCM of 6410 and 6417?

Answer:

Least Common Multiple of 6410 and 6417 = 41132970

Step 1: Find the prime factorization of 6410

6410 = 2 x 5 x 641

Step 2: Find the prime factorization of 6417

6417 = 3 x 3 x 23 x 31

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

LCM = 41132970 = 2 x 3 x 3 x 5 x 23 x 31 x 641

Step 4: Therefore, the least common multiple of 6410 and 6417 is 41132970.