Least Common Multiple of 6400 and 6407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6400 and 6407 the smallest integer that is 41004800 that is divisible by both numbers.

Least Common Multiple (LCM) of 6400 and 6407 is 41004800.

LCM(6400,6407) = 41004800

LCM of 6400 and 6407

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

LCM of:
and

Least Common Multiple of 6400 and 6407

LCM of 6400 and 6407 is 41004800

Least common multiple can be found by multiplying the highest exponent prime factors of 6400 and 6407. First we will calculate the prime factors of 6400 and 6407.

Prime Factorization of 6400


2 6400
2 3200
2 1600
2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 6400 are 2,5. Prime factorization of 6400 in exponential form is:

6400 = 28×52

Prime Factorization of 6407


43 6407
149 149
1

Prime factors of 6407 are 43,149. Prime factorization of 6407 in exponential form is:

6407 = 431×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 6400 and 6407.

LCM(6400,6407) = 28×52×431×1491
LCM(6400,6407) = 41004800

Factors of 6400

List of positive integer factors of 6400 that divides 6400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400

Factors of 6407

List of positive integer factors of 6407 that divides 6407 without a remainder.

1, 43, 149, 6407

Least Common Multiple of 6400 and 6407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6400 and 6407, than apply into the LCM equation.

GCF(6400,6407) = 1
LCM(6400,6407) = ( 6400 × 6407) / 1
LCM(6400,6407) = 41004800 / 1
LCM(6400,6407) = 41004800

Properties of LCM 6400 and 6407

(i) The LCM of 6407 and 6400 is associative

LCM of 6400 and 6407 = LCM of 6407 and 6400

Related Least Common Multiples of 6400

Related Least Common Multiples of 6407

Frequently Asked Questions on LCM of 6400 and 6407

1. What is the LCM of 6400 and 6407?

Answer: LCM of 6400 and 6407 is 41004800.

2. What are the Factors of 6400?

Answer: Factors of 6400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400. There are 27 integers that are factors of 6400. The greatest factor of 6400 is 6400.

3. What are the Factors of 6407?

Answer: Factors of 6407 are 1, 43, 149, 6407. There are 4 integers that are factors of 6407. The greatest factor of 6407 is 6407.

4. How to Find the LCM of 6400 and 6407?

Answer:

Least Common Multiple of 6400 and 6407 = 41004800

Step 1: Find the prime factorization of 6400

6400 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5

Step 2: Find the prime factorization of 6407

6407 = 43 x 149

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

LCM = 41004800 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 43 x 149

Step 4: Therefore, the least common multiple of 6400 and 6407 is 41004800.