Least Common Multiple of 6405 and 6408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6405 and 6408 the smallest integer that is 13681080 that is divisible by both numbers.

Least Common Multiple (LCM) of 6405 and 6408 is 13681080.

LCM(6405,6408) = 13681080

LCM of 6405 and 6408

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

LCM of:
and

Least Common Multiple of 6405 and 6408

LCM of 6405 and 6408 is 13681080

Least common multiple can be found by multiplying the highest exponent prime factors of 6405 and 6408. First we will calculate the prime factors of 6405 and 6408.

Prime Factorization of 6405


3 6405
5 2135
7 427
61 61
1

Prime factors of 6405 are 3, 5, 7,61. Prime factorization of 6405 in exponential form is:

6405 = 31×51×71×611

Prime Factorization of 6408


2 6408
2 3204
2 1602
3 801
3 267
89 89
1

Prime factors of 6408 are 2, 3,89. Prime factorization of 6408 in exponential form is:

6408 = 23×32×891

Now multiplying the highest exponent prime factors to calculate the LCM of 6405 and 6408.

LCM(6405,6408) = 23×32×51×71×611×891
LCM(6405,6408) = 13681080

Factors of 6405

List of positive integer factors of 6405 that divides 6405 without a remainder.

1, 3, 5, 7, 15, 21, 35, 61, 105, 183, 305, 427, 915, 1281, 2135, 6405

Factors of 6408

List of positive integer factors of 6408 that divides 6408 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 89, 178, 267, 356, 534, 712, 801, 1068, 1602, 2136, 3204, 6408

Least Common Multiple of 6405 and 6408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6405 and 6408, than apply into the LCM equation.

GCF(6405,6408) = 3
LCM(6405,6408) = ( 6405 × 6408) / 3
LCM(6405,6408) = 41043240 / 3
LCM(6405,6408) = 13681080

Properties of LCM 6405 and 6408

(i) The LCM of 6408 and 6405 is associative

LCM of 6405 and 6408 = LCM of 6408 and 6405

Related Least Common Multiples of 6405

Related Least Common Multiples of 6408

Frequently Asked Questions on LCM of 6405 and 6408

1. What is the LCM of 6405 and 6408?

Answer: LCM of 6405 and 6408 is 13681080.

2. What are the Factors of 6405?

Answer: Factors of 6405 are 1, 3, 5, 7, 15, 21, 35, 61, 105, 183, 305, 427, 915, 1281, 2135, 6405. There are 16 integers that are factors of 6405. The greatest factor of 6405 is 6405.

3. What are the Factors of 6408?

Answer: Factors of 6408 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 89, 178, 267, 356, 534, 712, 801, 1068, 1602, 2136, 3204, 6408. There are 24 integers that are factors of 6408. The greatest factor of 6408 is 6408.

4. How to Find the LCM of 6405 and 6408?

Answer:

Least Common Multiple of 6405 and 6408 = 13681080

Step 1: Find the prime factorization of 6405

6405 = 3 x 5 x 7 x 61

Step 2: Find the prime factorization of 6408

6408 = 2 x 2 x 2 x 3 x 3 x 89

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

LCM = 13681080 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 61 x 89

Step 4: Therefore, the least common multiple of 6405 and 6408 is 13681080.