Least Common Multiple of 6407 and 6415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6407 and 6415 the smallest integer that is 41100905 that is divisible by both numbers.

Least Common Multiple (LCM) of 6407 and 6415 is 41100905.

LCM(6407,6415) = 41100905

LCM of 6407 and 6415

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

LCM of:
and

Least Common Multiple of 6407 and 6415

LCM of 6407 and 6415 is 41100905

Least common multiple can be found by multiplying the highest exponent prime factors of 6407 and 6415. First we will calculate the prime factors of 6407 and 6415.

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

Prime Factorization of 6415


5 6415
1283 1283
1

Prime factors of 6415 are 5,1283. Prime factorization of 6415 in exponential form is:

6415 = 51×12831

Now multiplying the highest exponent prime factors to calculate the LCM of 6407 and 6415.

LCM(6407,6415) = 51×431×1491×12831
LCM(6407,6415) = 41100905

Factors of 6407

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

1, 43, 149, 6407

Factors of 6415

List of positive integer factors of 6415 that divides 6415 without a remainder.

1, 5, 1283, 6415

Least Common Multiple of 6407 and 6415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6407 and 6415, than apply into the LCM equation.

GCF(6407,6415) = 1
LCM(6407,6415) = ( 6407 × 6415) / 1
LCM(6407,6415) = 41100905 / 1
LCM(6407,6415) = 41100905

Properties of LCM 6407 and 6415

(i) The LCM of 6415 and 6407 is associative

LCM of 6407 and 6415 = LCM of 6415 and 6407

Related Least Common Multiples of 6407

Related Least Common Multiples of 6415

Frequently Asked Questions on LCM of 6407 and 6415

1. What is the LCM of 6407 and 6415?

Answer: LCM of 6407 and 6415 is 41100905.

2. 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.

3. What are the Factors of 6415?

Answer: Factors of 6415 are 1, 5, 1283, 6415. There are 4 integers that are factors of 6415. The greatest factor of 6415 is 6415.

4. How to Find the LCM of 6407 and 6415?

Answer:

Least Common Multiple of 6407 and 6415 = 41100905

Step 1: Find the prime factorization of 6407

6407 = 43 x 149

Step 2: Find the prime factorization of 6415

6415 = 5 x 1283

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

LCM = 41100905 = 5 x 43 x 149 x 1283

Step 4: Therefore, the least common multiple of 6407 and 6415 is 41100905.