Least Common Multiple of 6404 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 6404 and 6408 the smallest integer that is 10259208 that is divisible by both numbers.

Least Common Multiple (LCM) of 6404 and 6408 is 10259208.

LCM(6404,6408) = 10259208

LCM of 6404 and 6408

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

LCM of:
and

Least Common Multiple of 6404 and 6408

LCM of 6404 and 6408 is 10259208

Least common multiple can be found by multiplying the highest exponent prime factors of 6404 and 6408. First we will calculate the prime factors of 6404 and 6408.

Prime Factorization of 6404


2 6404
2 3202
1601 1601
1

Prime factors of 6404 are 2,1601. Prime factorization of 6404 in exponential form is:

6404 = 22×16011

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 6404 and 6408.

LCM(6404,6408) = 23×32×891×16011
LCM(6404,6408) = 10259208

Factors of 6404

List of positive integer factors of 6404 that divides 6404 without a remainder.

1, 2, 4, 1601, 3202, 6404

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 6404 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 6404 and 6408, than apply into the LCM equation.

GCF(6404,6408) = 4
LCM(6404,6408) = ( 6404 × 6408) / 4
LCM(6404,6408) = 41036832 / 4
LCM(6404,6408) = 10259208

Properties of LCM 6404 and 6408

(i) The LCM of 6408 and 6404 is associative

LCM of 6404 and 6408 = LCM of 6408 and 6404

Related Least Common Multiples of 6404

Related Least Common Multiples of 6408

Frequently Asked Questions on LCM of 6404 and 6408

1. What is the LCM of 6404 and 6408?

Answer: LCM of 6404 and 6408 is 10259208.

2. What are the Factors of 6404?

Answer: Factors of 6404 are 1, 2, 4, 1601, 3202, 6404. There are 6 integers that are factors of 6404. The greatest factor of 6404 is 6404.

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 6404 and 6408?

Answer:

Least Common Multiple of 6404 and 6408 = 10259208

Step 1: Find the prime factorization of 6404

6404 = 2 x 2 x 1601

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 = 10259208 = 2 x 2 x 2 x 3 x 3 x 89 x 1601

Step 4: Therefore, the least common multiple of 6404 and 6408 is 10259208.