Least Common Multiple of 6407 and 6414

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 6414 the smallest integer that is 41094498 that is divisible by both numbers.

Least Common Multiple (LCM) of 6407 and 6414 is 41094498.

LCM(6407,6414) = 41094498

LCM of 6407 and 6414

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

LCM of:
and

Least Common Multiple of 6407 and 6414

LCM of 6407 and 6414 is 41094498

Least common multiple can be found by multiplying the highest exponent prime factors of 6407 and 6414. First we will calculate the prime factors of 6407 and 6414.

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 6414


2 6414
3 3207
1069 1069
1

Prime factors of 6414 are 2, 3,1069. Prime factorization of 6414 in exponential form is:

6414 = 21×31×10691

Now multiplying the highest exponent prime factors to calculate the LCM of 6407 and 6414.

LCM(6407,6414) = 21×31×431×1491×10691
LCM(6407,6414) = 41094498

Factors of 6407

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

1, 43, 149, 6407

Factors of 6414

List of positive integer factors of 6414 that divides 6414 without a remainder.

1, 2, 3, 6, 1069, 2138, 3207, 6414

Least Common Multiple of 6407 and 6414 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 6414, than apply into the LCM equation.

GCF(6407,6414) = 1
LCM(6407,6414) = ( 6407 × 6414) / 1
LCM(6407,6414) = 41094498 / 1
LCM(6407,6414) = 41094498

Properties of LCM 6407 and 6414

(i) The LCM of 6414 and 6407 is associative

LCM of 6407 and 6414 = LCM of 6414 and 6407

Related Least Common Multiples of 6407

Related Least Common Multiples of 6414

Frequently Asked Questions on LCM of 6407 and 6414

1. What is the LCM of 6407 and 6414?

Answer: LCM of 6407 and 6414 is 41094498.

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 6414?

Answer: Factors of 6414 are 1, 2, 3, 6, 1069, 2138, 3207, 6414. There are 8 integers that are factors of 6414. The greatest factor of 6414 is 6414.

4. How to Find the LCM of 6407 and 6414?

Answer:

Least Common Multiple of 6407 and 6414 = 41094498

Step 1: Find the prime factorization of 6407

6407 = 43 x 149

Step 2: Find the prime factorization of 6414

6414 = 2 x 3 x 1069

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

LCM = 41094498 = 2 x 3 x 43 x 149 x 1069

Step 4: Therefore, the least common multiple of 6407 and 6414 is 41094498.