Least Common Multiple of 6414 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 6414 and 6417 the smallest integer that is 13719546 that is divisible by both numbers.

Least Common Multiple (LCM) of 6414 and 6417 is 13719546.

LCM(6414,6417) = 13719546

LCM of 6414 and 6417

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

LCM of:
and

Least Common Multiple of 6414 and 6417

LCM of 6414 and 6417 is 13719546

Least common multiple can be found by multiplying the highest exponent prime factors of 6414 and 6417. First we will calculate the prime factors of 6414 and 6417.

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

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 6414 and 6417.

LCM(6414,6417) = 21×32×231×311×10691
LCM(6414,6417) = 13719546

Factors of 6414

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

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

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 6414 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 6414 and 6417, than apply into the LCM equation.

GCF(6414,6417) = 3
LCM(6414,6417) = ( 6414 × 6417) / 3
LCM(6414,6417) = 41158638 / 3
LCM(6414,6417) = 13719546

Properties of LCM 6414 and 6417

(i) The LCM of 6417 and 6414 is associative

LCM of 6414 and 6417 = LCM of 6417 and 6414

Related Least Common Multiples of 6414

Related Least Common Multiples of 6417

Frequently Asked Questions on LCM of 6414 and 6417

1. What is the LCM of 6414 and 6417?

Answer: LCM of 6414 and 6417 is 13719546.

2. 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.

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 6414 and 6417?

Answer:

Least Common Multiple of 6414 and 6417 = 13719546

Step 1: Find the prime factorization of 6414

6414 = 2 x 3 x 1069

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 = 13719546 = 2 x 3 x 3 x 23 x 31 x 1069

Step 4: Therefore, the least common multiple of 6414 and 6417 is 13719546.